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12120011232 = 2537219135607
BaseRepresentation
bin10110100100110100…
…01011000111100000
31011021122221100210220
423102122023013200
5144310210324412
65322353523040
7606226252500
oct132232130740
934248840726
1012120011232
11515a48090a
122422b73480
1311b1c938a4
1482d93ba00
154ae07968c
hex2d268b1e0

12120011232 has 144 divisors (see below), whose sum is σ = 38957466240. Its totient is φ = 3280580352.

The previous prime is 12120011219. The next prime is 12120011257. The reversal of 12120011232 is 23211002121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21573 + ... + 157179.

It is an arithmetic number, because the mean of its divisors is an integer number (270537960).

Almost surely, 212120011232 is an apocalyptic number.

12120011232 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 12120011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19478733120).

12120011232 is an abundant number, since it is smaller than the sum of its proper divisors (26837455008).

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

12120011232 is a wasteful number, since it uses less digits than its factorization.

12120011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135653 (or 135638 counting only the distinct ones).

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

Adding to 12120011232 its reverse (23211002121), we get a palindrome (35331013353).

The spelling of 12120011232 in words is "twelve billion, one hundred twenty million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2793 3192 3724 4256 4704 5586 6384 7448 11172 12768 14896 22344 29792 44688 89376 135607 271214 406821 542428 813642 949249 1084856 1627284 1898498 2169712 2576533 2847747 3254568 3796996 4339424 5153066 5695494 6509136 6644743 7593992 7729599 10306132 11390988 13018272 13289486 15187984 15459198 18035731 19934229 20612264 22781976 26578972 30375968 30918396 36071462 39868458 41224528 45563952 53157944 54107193 61836792 72142924 79736916 82449056 91127904 106315888 108214386 123673584 126250117 144285848 159473832 212631776 216428772 247347168 252500234 288571696 318947664 378750351 432857544 505000468 577143392 637895328 757500702 865715088 1010000936 1515001404 1731430176 2020001872 3030002808 4040003744 6060005616 12120011232