1256973120 has 672 divisors, whose sum is σ = 5202570240. Its totient is φ = 283668480.

The previous prime is 1256973097. The next prime is 1256973163. The reversal of 1256973120 is 213796521.

1256973120 is a `hidden beast` number, since 1 + 2 + 569 + 73 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40547505 + ... + 40547535.

It is an arithmetic number, because the mean of its divisors is an integer number (7741920).

Almost surely, 2^1256973120 is an apocalyptic number.

1256973120 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 1256973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601285120).

1256973120 is an abundant number, since it is smaller than the sum of its proper divisors (3945597120).

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

1256973120 is a wasteful number, since it uses less digits than its factorization.

1256973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1256973120 is about 35453.8167197835. The cubic root of 1256973120 is about 1079.2167160011.

It can be divided in two parts, 125 and 6973120, that added together give a triangular number (6973245 = T₃₇₃₄).

The spelling of 1256973120 in words is "one billion, two hundred fifty-six million, nine hundred seventy-three thousand, one hundred twenty".