1256132800 has 168 divisors, whose sum is σ = 3361316112. Its totient is φ = 459264000.

The previous prime is 1256132791. The next prime is 1256132809. The reversal of 1256132800 is 82316521.

It is an interprime number because it is at equal distance from previous prime (1256132791) and next prime (1256132809).

It is a super-2 number, since 2×1256132800² = 3155739222471680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1256132809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2724570 + ... + 2725030.

It is an arithmetic number, because the mean of its divisors is an integer number (20007834).

Almost surely, 2^1256132800 is an apocalyptic number.

1256132800 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 1256132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680658056).

1256132800 is an abundant number, since it is smaller than the sum of its proper divisors (2105183312).

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

1256132800 is a wasteful number, since it uses less digits than its factorization.

1256132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1256132800 is about 35441.9638282079. The cubic root of 1256132800 is about 1078.9761673518.

The spelling of 1256132800 in words is "one billion, two hundred fifty-six million, one hundred thirty-two thousand, eight hundred".