1256116032 has 224 divisors, whose sum is σ = 3862425600. Its totient is φ = 399859200.

The previous prime is 1256116021. The next prime is 1256116033. The reversal of 1256116032 is 2306116521.

1256116032 is a `hidden beast` number, since 1 + 2 + 56 + 1 + 1 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1256115987 and 1256116005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256116033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7017319 + ... + 7017497.

Almost surely, 2^1256116032 is an apocalyptic number.

1256116032 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 1256116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931212800).

1256116032 is an abundant number, since it is smaller than the sum of its proper divisors (2606309568).

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

1256116032 is a wasteful number, since it uses less digits than its factorization.

1256116032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1256116032 is about 35441.7272716779. The cubic root of 1256116032 is about 1078.9713662796.

The spelling of 1256116032 in words is "one billion, two hundred fifty-six million, one hundred sixteen thousand, thirty-two".