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12131222232 = 2332983373563
BaseRepresentation
bin10110100110001001…
…11100001011011000
31011022110000221102010
423103010330023120
5144321043102412
65323434105520
7606423454563
oct132304741330
934273027363
1012131222232
1151658388a8
12242687b2a0
1311b43ba70c
148312194da
154b004133c
hex2d313c2d8

12131222232 has 128 divisors (see below), whose sum is σ = 31893523200. Its totient is φ = 3840087552.

The previous prime is 12131222231. The next prime is 12131222293. The reversal of 12131222232 is 23222213121.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12131222199 and 12131222208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131222231) 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, 21547183 + ... + 21547745.

It is an arithmetic number, because the mean of its divisors is an integer number (249168150).

Almost surely, 212131222232 is an apocalyptic number.

12131222232 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 12131222232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946761600).

12131222232 is an abundant number, since it is smaller than the sum of its proper divisors (19762300968).

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

12131222232 is a wasteful number, since it uses less digits than its factorization.

12131222232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

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

Adding to 12131222232 its reverse (23222213121), we get a palindrome (35353435353).

The spelling of 12131222232 in words is "twelve billion, one hundred thirty-one million, two hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 83 87 116 166 174 232 249 332 348 373 498 563 664 696 746 996 1119 1126 1492 1689 1992 2238 2252 2407 2984 3378 4476 4504 4814 6756 7221 8952 9628 10817 13512 14442 16327 19256 21634 28884 30959 32451 32654 43268 46729 48981 57768 61918 64902 65308 86536 92877 93458 97962 123836 129804 130616 140187 185754 186916 195924 209999 247672 259608 280374 371508 373832 391848 419998 560748 629997 743016 839996 897811 1121496 1259994 1355141 1679992 1795622 2519988 2693433 2710282 3591244 4065423 5039976 5386866 5420564 6089971 7182488 8130846 10773732 10841128 12179942 16261692 17429917 18269913 21547464 24359884 32523384 34859834 36539826 48719768 52289751 69719668 73079652 104579502 139439336 146159304 209159004 418318008 505467593 1010935186 1516402779 2021870372 3032805558 4043740744 6065611116 12131222232