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12013213344 = 2531129392281
BaseRepresentation
bin10110011000000101…
…10001011010100000
31011000012222110122120
423030002301122200
5144100340311334
65304020504240
7603461425416
oct131402613240
934005873576
1012013213344
115105166aa0
1223b324b080
131195b0cb82
1481d69b2b6
154a49d0949
hex2cc0b16a0

12013213344 has 96 divisors (see below), whose sum is σ = 35587823040. Its totient is φ = 3514828800.

The previous prime is 12013213343. The next prime is 12013213379. The reversal of 12013213344 is 44331231021.

12013213344 = 59772 + 59782 + ... + 62952.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (12013213343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165517 + ... + 226764.

It is an arithmetic number, because the mean of its divisors is an integer number (370706490).

Almost surely, 212013213344 is an apocalyptic number.

It is an amenable number.

12013213344 is an abundant number, since it is smaller than the sum of its proper divisors (23574609696).

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

12013213344 is a wasteful number, since it uses less digits than its factorization.

12013213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392334 (or 392326 counting only the distinct ones).

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

Adding to 12013213344 its reverse (44331231021), we get a palindrome (56344444365).

The spelling of 12013213344 in words is "twelve billion, thirteen million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2784 3828 5104 7656 10208 15312 30624 392281 784562 1176843 1569124 2353686 3138248 4315091 4707372 6276496 8630182 9414744 11376149 12552992 12945273 17260364 18829488 22752298 25890546 34128447 34520728 37658976 45504596 51781092 68256894 69041456 91009192 103562184 125137639 136513788 138082912 182018384 207124368 250275278 273027576 364036768 375412917 414248736 500550556 546055152 750825834 1001101112 1092110304 1501651668 2002202224 3003303336 4004404448 6006606672 12013213344