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12131023344 = 2431161937117
BaseRepresentation
bin10110100110001000…
…01011100111110000
31011022102122211120220
423103010023213300
5144321020221334
65323425533040
7606421665666
oct132304134760
934272584526
1012131023344
115165712430
1224267a4180
1311b434b02b
148311a6c36
154b0002449
hex2d310b9f0

12131023344 has 80 divisors (see below), whose sum is σ = 34243582080. Its totient is φ = 3670030080.

The previous prime is 12131023343. The next prime is 12131023351. The reversal of 12131023344 is 44332013121.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131023343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308274 + ... + 345390.

It is an arithmetic number, because the mean of its divisors is an integer number (428044776).

Almost surely, 212131023344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131023344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17121791040).

12131023344 is an abundant number, since it is smaller than the sum of its proper divisors (22112558736).

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

12131023344 is a wasteful number, since it uses less digits than its factorization.

12131023344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37758 (or 37752 counting only the distinct ones).

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

Adding to 12131023344 its reverse (44332013121), we get a palindrome (56463036465).

The spelling of 12131023344 in words is "twelve billion, one hundred thirty-one million, twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 619 1238 1857 2476 3714 4952 6809 7428 9904 13618 14856 20427 27236 29712 37117 40854 54472 74234 81708 108944 111351 148468 163416 222702 296936 326832 408287 445404 593872 816574 890808 1224861 1633148 1781616 2449722 3266296 4899444 6532592 9798888 19597776 22975423 45950846 68926269 91901692 137852538 183803384 252729653 275705076 367606768 505459306 551410152 758188959 1010918612 1102820304 1516377918 2021837224 3032755836 4043674448 6065511672 12131023344