12310659072 has 240 divisors, whose sum is σ = 38644089120. Its totient is φ = 3859808256.

The previous prime is 12310659061. The next prime is 12310659197. The reversal of 12310659072 is 27095601321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 7519438 + ... + 7521074.

It is an arithmetic number, because the mean of its divisors is an integer number (161017038).

Almost surely, 2^12310659072 is an apocalyptic number.

12310659072 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 12310659072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322044560).

12310659072 is an abundant number, since it is smaller than the sum of its proper divisors (26333430048).

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

12310659072 is an equidigital number, since it uses as much as digits as its factorization.

12310659072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12310659072 in words is "twelve billion, three hundred ten million, six hundred fifty-nine thousand, seventy-two".