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12211120020030 = 235193211281249
BaseRepresentation
bin1011000110110001111101…
…1110001001101000111110
31121020101000221122100001120
42301230133132021220332
53100031333211120110
641545413332451410
72400136636406001
oct261543736115076
947211027570046
1012211120020030
1139887859a96a8
12145271b479b66
136a7671769469
14303042893538
1516298c740870
hexb1b1f789a3e

12211120020030 has 128 divisors (see below), whose sum is σ = 31081320000000. Its totient is φ = 3070283166720.

The previous prime is 12211120020013. The next prime is 12211120020061. The reversal of 12211120020030 is 3002002111221.

It is a super-2 number, since 2×122111200200302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 12211120019991 and 12211120020009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43276846 + ... + 43558094.

It is an arithmetic number, because the mean of its divisors is an integer number (242822812500).

Almost surely, 212211120020030 is an apocalyptic number.

12211120020030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211120020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15540660000000).

12211120020030 is an abundant number, since it is smaller than the sum of its proper divisors (18870199979970).

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

12211120020030 is a wasteful number, since it uses less digits than its factorization.

12211120020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281527 (or 281489 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12211120020030 its reverse (3002002111221), we get a palindrome (15213122131251).

The spelling of 12211120020030 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 211 285 361 422 570 633 722 1055 1083 1266 1805 2110 2166 3165 3610 4009 5415 6330 6859 8018 10830 12027 13718 20045 20577 24054 34295 40090 41154 60135 68590 76171 102885 120270 152342 205770 228513 281249 380855 457026 562498 761710 843747 1142565 1406245 1447249 1687494 2285130 2812490 2894498 4218735 4341747 5343731 7236245 8437470 8683494 10687462 14472490 16031193 21708735 26718655 32062386 43417470 53437310 59343539 80155965 101530889 118687078 160311930 178030617 203061778 296717695 304592667 356061234 507654445 593435390 609185334 890153085 1015308890 1127527241 1522963335 1780306170 1929086891 2255054482 3045926670 3382581723 3858173782 5637636205 5787260673 6765163446 9645434455 11275272410 11574521346 16912908615 19290868910 21423017579 28936303365 33825817230 42846035158 57872606730 64269052737 107115087895 128538105474 214230175790 321345263685 407037334001 642690527370 814074668002 1221112002003 2035186670005 2442224004006 4070373340010 6105560010015 12211120020030