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12331872252 = 22327194162819
BaseRepresentation
bin10110111110000100…
…10110111111111100
31011211102121000111100
423133002112333330
5200223424403002
65355402453100
7614411120220
oct133702267774
934742530440
1012331872252
115259025167
122481b04190
131216b4183b
1484db2a780
154c297811c
hex2df096ffc

12331872252 has 144 divisors (see below), whose sum is σ = 38415686400. Its totient is φ = 3256485120.

The previous prime is 12331872247. The next prime is 12331872253. The reversal of 12331872252 is 25227813321.

12331872252 is a `hidden beast` number, since 1 + 2 + 331 + 8 + 72 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331872253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164899 + ... + 227717.

It is an arithmetic number, because the mean of its divisors is an integer number (266775600).

Almost surely, 212331872252 is an apocalyptic number.

12331872252 is a gapful number since it is divisible by the number (12) 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 12331872252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19207843200).

12331872252 is an abundant number, since it is smaller than the sum of its proper divisors (26083814148).

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

12331872252 is a wasteful number, since it uses less digits than its factorization.

12331872252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62896 (or 62891 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 12331872252 in words is "twelve billion, three hundred thirty-one million, eight hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 41 42 57 63 76 82 84 114 123 126 133 164 171 228 246 252 266 287 342 369 399 492 532 574 684 738 779 798 861 1148 1197 1476 1558 1596 1722 2337 2394 2583 3116 3444 4674 4788 5166 5453 7011 9348 10332 10906 14022 16359 21812 28044 32718 49077 62819 65436 98154 125638 188457 196308 251276 376914 439733 565371 753828 879466 1130742 1193561 1319199 1758932 2261484 2387122 2575579 2638398 3580683 3957597 4774244 5151158 5276796 7161366 7726737 7915194 8354927 10302316 10742049 14322732 15453474 15830388 16709854 18029053 21484098 23180211 25064781 30906948 33419708 36058106 42968196 46360422 48936001 50129562 54087159 72116212 75194343 92720844 97872002 100259124 108174318 146808003 150388686 162261477 195744004 216348636 293616006 300777372 324522954 342552007 440424009 587232012 649045908 685104014 880848018 1027656021 1370208028 1761696036 2055312042 3082968063 4110624084 6165936126 12331872252