1256920000 has 210 divisors, whose sum is σ = 3615961272. Its totient is φ = 424512000.

The previous prime is 1256919997. The next prime is 1256920043. The reversal of 1256920000 is 296521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 18759967 + ... + 18760033.

Almost surely, 2^1256920000 is an apocalyptic number.

1256920000 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 1256920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807980636).

1256920000 is an abundant number, since it is smaller than the sum of its proper divisors (2359041272).

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

1256920000 is an frugal number, since it uses more digits than its factorization.

1256920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1256920000 is about 35453.0675682655. The cubic root of 1256920000 is about 1079.2015131304.

The spelling of 1256920000 in words is "one billion, two hundred fifty-six million, nine hundred twenty thousand".