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12232301232 = 24319233715761
BaseRepresentation
bin10110110010001101…
…00001101010110000
31011120111020021201210
423121012201222300
5200022432114412
65341444400120
7612061562544
oct133106415260
934514207653
1012232301232
1152078a6a68
1224546a6040
1311cc31b388
1484080ba24
154b8d5a83c
hex2d91a1ab0

12232301232 has 160 divisors (see below), whose sum is σ = 35649861120. Its totient is φ = 3594792960.

The previous prime is 12232301231. The next prime is 12232301267. The reversal of 12232301232 is 23210323221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12232301199 and 12232301208.

It is not an unprimeable number, because it can be changed into a prime (12232301231) 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, 768232 + ... + 783992.

It is an arithmetic number, because the mean of its divisors is an integer number (222811632).

Almost surely, 212232301232 is an apocalyptic number.

12232301232 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 12232301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824930560).

12232301232 is an abundant number, since it is smaller than the sum of its proper divisors (23417559888).

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

12232301232 is a wasteful number, since it uses less digits than its factorization.

12232301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15851 (or 15845 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12232301232 its reverse (23210323221), we get a palindrome (35442624453).

The spelling of 12232301232 in words is "twelve billion, two hundred thirty-two million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 37 38 46 48 57 69 74 76 92 111 114 138 148 152 184 222 228 276 296 304 368 437 444 456 552 592 703 851 874 888 912 1104 1311 1406 1702 1748 1776 2109 2553 2622 2812 3404 3496 4218 5106 5244 5624 6808 6992 8436 10212 10488 11248 13616 15761 16169 16872 20424 20976 31522 32338 33744 40848 47283 48507 63044 64676 94566 97014 126088 129352 189132 194028 252176 258704 299459 362503 378264 388056 583157 598918 725006 756528 776112 898377 1087509 1166314 1197836 1450012 1749471 1796754 2175018 2332628 2395672 2900024 3498942 3593508 4350036 4665256 4791344 5800048 6887557 6997884 7187016 8700072 9330512 11079983 13412611 13775114 13995768 14374032 17400144 20662671 22159966 26825222 27550228 27991536 33239949 40237833 41325342 44319932 53650444 55100456 66479898 80475666 82650684 88639864 107300888 110200912 132959796 160951332 165301368 177279728 214601776 254839609 265919592 321902664 330602736 509679218 531839184 643805328 764518827 1019358436 1529037654 2038716872 3058075308 4077433744 6116150616 12232301232