12313157120 has 320 divisors, whose sum is σ = 34603588800. Its totient is φ = 4166778880.

The previous prime is 12313157117. The next prime is 12313157123. The reversal of 12313157120 is 2175131321.

It is an interprime number because it is at equal distance from previous prime (12313157117) and next prime (12313157123).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×12313157120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12313157120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313157123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138350036 + ... + 138350124.

It is an arithmetic number, because the mean of its divisors is an integer number (108136215).

Almost surely, 2^12313157120 is an apocalyptic number.

12313157120 is a gapful number since it is divisible by the number (10) 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 12313157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301794400).

12313157120 is an abundant number, since it is smaller than the sum of its proper divisors (22290431680).

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

12313157120 is an frugal number, since it uses more digits than its factorization.

12313157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

Adding to 12313157120 its reverse (2175131321), we get a palindrome (14488288441).

The spelling of 12313157120 in words is "twelve billion, three hundred thirteen million, one hundred fifty-seven thousand, one hundred twenty".