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12113332224 = 21137281653
BaseRepresentation
bin10110100100000001…
…01100100000000000
31011021012101000221020
423102000230200000
5144302003112344
65321554425440
7606115424250
oct132200544000
934235330836
1012113332224
115156729874
122420892280
1311b0795806
1482cabd960
154ad6aa719
hex2d202c800

12113332224 has 96 divisors (see below), whose sum is σ = 36907940160. Its totient is φ = 3460939776.

The previous prime is 12113332183. The next prime is 12113332229. The reversal of 12113332224 is 42223331121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 12113332194 and 12113332203.

It is not an unprimeable number, because it can be changed into a prime (12113332229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97819 + ... + 183834.

It is an arithmetic number, because the mean of its divisors is an integer number (384457710).

Almost surely, 212113332224 is an apocalyptic number.

12113332224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12113332224 is an abundant number, since it is smaller than the sum of its proper divisors (24794607936).

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

12113332224 is an equidigital number, since it uses as much as digits as its factorization.

12113332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281685 (or 281665 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 12113332224 its reverse (42223331121), we get a palindrome (54336663345).

The spelling of 12113332224 in words is "twelve billion, one hundred thirteen million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 281653 563306 844959 1126612 1689918 1971571 2253224 3379836 3943142 4506448 5914713 6759672 7886284 9012896 11829426 13519344 15772568 18025792 23658852 27038688 31545136 36051584 47317704 54077376 63090272 72103168 94635408 108154752 126180544 144206336 189270816 216309504 252361088 288412672 378541632 432619008 504722176 576825344 757083264 865238016 1009444352 1514166528 1730476032 2018888704 3028333056 4037777408 6056666112 12113332224