1256431120 has 80 divisors (see below), whose sum is σ = 3483705600. Its totient is φ = 412042752.

The previous prime is 1256431073. The next prime is 1256431157. The reversal of 1256431120 is 211346521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35895 + ... + 61654.

It is an arithmetic number, because the mean of its divisors is an integer number (43546320).

Almost surely, 2^1256431120 is an apocalyptic number.

1256431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256431120 is an abundant number, since it is smaller than the sum of its proper divisors (2227274480).

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

1256431120 is a wasteful number, since it uses less digits than its factorization.

1256431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97592 (or 97586 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1256431120 is about 35446.1721487666. The cubic root of 1256431120 is about 1079.0615762333.

Adding to 1256431120 its reverse (211346521), we get a palindrome (1467777641).

The spelling of 1256431120 in words is "one billion, two hundred fifty-six million, four hundred thirty-one thousand, one hundred twenty".