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12210122302320 = 2435299471852511
BaseRepresentation
bin1011000110101110010000…
…0000001010001101110000
31121020021110102021000122210
42301223210000022031300
53100022312302133240
641545130332132120
72400103133062005
oct261534400121560
947207412230583
1012210122302320
1139883137a4608
1214524a1307040
136a7542b4b057
14302d8a17b8ac
1516292ed60780
hexb1ae400a370

12210122302320 has 160 divisors (see below), whose sum is σ = 39197968312320. Its totient is φ = 3140434232320.

The previous prime is 12210122302289. The next prime is 12210122302351. The reversal of 12210122302320 is 2320322101221.

It is an interprime number because it is at equal distance from previous prime (12210122302289) and next prime (12210122302351).

It is a super-2 number, since 2×122101223023202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5664865 + ... + 7517375.

It is an arithmetic number, because the mean of its divisors is an integer number (244987301952).

Almost surely, 212210122302320 is an apocalyptic number.

12210122302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210122302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19598984156160).

12210122302320 is an abundant number, since it is smaller than the sum of its proper divisors (26987846010000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12210122302320 is a wasteful number, since it uses less digits than its factorization.

12210122302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853503 (or 1853497 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12210122302320 its reverse (2320322101221), we get a palindrome (14530444403541).

The spelling of 12210122302320 in words is "twelve trillion, two hundred ten billion, one hundred twenty-two million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 947 1160 1392 1740 1894 2320 2841 3480 3788 4735 5682 6960 7576 9470 11364 14205 15152 18940 22728 27463 28410 37880 45456 54926 56820 75760 82389 109852 113640 137315 164778 219704 227280 274630 329556 411945 439408 549260 659112 823890 1098520 1318224 1647780 1852511 2197040 3295560 3705022 5557533 6591120 7410044 9262555 11115066 14820088 18525110 22230132 27787665 29640176 37050220 44460264 53722819 55575330 74100440 88920528 107445638 111150660 148200880 161168457 214891276 222301320 268614095 322336914 429782552 444602640 537228190 644673828 805842285 859565104 1074456380 1289347656 1611684570 1754327917 2148912760 2578695312 3223369140 3508655834 4297825520 5262983751 6446738280 7017311668 8771639585 10525967502 12893476560 14034623336 17543279170 21051935004 26314918755 28069246672 35086558340 42103870008 50875509593 52629837510 70173116680 84207740016 101751019186 105259675020 140346233360 152626528779 203502038372 210519350040 254377547965 305253057558 407004076744 421038700080 508755095930 610506115116 763132643895 814008153488 1017510191860 1221012230232 1526265287790 2035020383720 2442024460464 3052530575580 4070040767440 6105061151160 12210122302320