1256272512 has 256 divisors, whose sum is σ = 3875281920. Its totient is φ = 356843520.

The previous prime is 1256272499. The next prime is 1256272529. The reversal of 1256272512 is 2152726521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6509088 + ... + 6509280.

It is an arithmetic number, because the mean of its divisors is an integer number (15137820).

Almost surely, 2^1256272512 is an apocalyptic number.

1256272512 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 1256272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937640960).

1256272512 is an abundant number, since it is smaller than the sum of its proper divisors (2619009408).

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

1256272512 is a wasteful number, since it uses less digits than its factorization.

1256272512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 1256272512 is about 35443.9347702819. The cubic root of 1256272512 is about 1079.0161685177.

The spelling of 1256272512 in words is "one billion, two hundred fifty-six million, two hundred seventy-two thousand, five hundred twelve".