12957437220 has 768 divisors, whose sum is σ = 50125824000. Its totient is φ = 2424619008.

The previous prime is 12957437203. The next prime is 12957437237. The reversal of 12957437220 is 2273475921.

It is an interprime number because it is at equal distance from previous prime (12957437203) and next prime (12957437237).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 255 ways as a sum of consecutive naturals, for example, 177499104 + ... + 177499176.

It is an arithmetic number, because the mean of its divisors is an integer number (65268000).

Almost surely, 2^12957437220 is an apocalyptic number.

12957437220 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 12957437220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25062912000).

12957437220 is an abundant number, since it is smaller than the sum of its proper divisors (37168386780).

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

12957437220 is a wasteful number, since it uses less digits than its factorization.

12957437220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 12957437220 in words is "twelve billion, nine hundred fifty-seven million, four hundred thirty-seven thousand, two hundred twenty".