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12230312211320 = 2357233315737513
BaseRepresentation
bin1011000111111001011101…
…1010100011001101111000
31121022012120111010200002012
42301332113122203031320
53100340134411230240
642002310004025052
72401416352344320
oct261762732431570
947265514120065
1012230312211320
113995934444015
121456396992188
136a940c988b78
14303d4377a280
151632125e0b65
hexb1f976a3378

12230312211320 has 128 divisors (see below), whose sum is σ = 32915888317440. Its totient is φ = 3998816363520.

The previous prime is 12230312211287. The next prime is 12230312211329. The reversal of 12230312211320 is 2311221303221.

It is a super-2 number, since 2×122303122113202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230312211329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737117 + ... + 5000396.

It is an arithmetic number, because the mean of its divisors is an integer number (257155377480).

Almost surely, 212230312211320 is an apocalyptic number.

12230312211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12230312211320 is an abundant number, since it is smaller than the sum of its proper divisors (20685576106120).

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

12230312211320 is a wasteful number, since it uses less digits than its factorization.

12230312211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737885 (or 5737881 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12230312211320 its reverse (2311221303221), we get a palindrome (14541533514541).

The spelling of 12230312211320 in words is "twelve trillion, two hundred thirty billion, three hundred twelve million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 331 460 644 662 805 920 1288 1324 1610 1655 2317 2648 3220 3310 4634 6440 6620 7613 9268 11585 13240 15226 18536 23170 30452 38065 46340 53291 60904 76130 92680 106582 152260 213164 266455 304520 426328 532910 1065820 2131640 5737513 11475026 22950052 28687565 40162591 45900104 57375130 80325182 114750260 131962799 160650364 200812955 229500520 263925598 321300728 401625910 527851196 659813995 803251820 923739593 1055702392 1319627990 1606503640 1847479186 1899116803 2639255980 3694958372 3798233606 4618697965 5278511960 7389916744 7596467212 9237395930 9495584015 13293817621 15192934424 18474791860 18991168030 26587635242 36949583720 37982336060 43679686469 53175270484 66469088105 75964672120 87359372938 106350540968 132938176210 174718745876 218398432345 265876352420 305757805283 349437491752 436796864690 531752704840 611515610566 873593729380 1223031221132 1528789026415 1747187458760 2446062442264 3057578052830 6115156105660 12230312211320