1250161920 has 432 divisors, whose sum is σ = 5089069440. Its totient is φ = 277364736.

The previous prime is 1250161909. The next prime is 1250161931. The reversal of 1250161920 is 291610521.

1250161920 is a `hidden beast` number, since 1 + 25 + 0 + 1 + 619 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1250161909) and next prime (1250161931).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2983471 + ... + 2983889.

Almost surely, 2^1250161920 is an apocalyptic number.

1250161920 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 1250161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544534720).

1250161920 is an abundant number, since it is smaller than the sum of its proper divisors (3838907520).

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

1250161920 is a wasteful number, since it uses less digits than its factorization.

1250161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1250161920 is about 35357.6288797764. The cubic root of 1250161920 is about 1077.2638558164.

The spelling of 1250161920 in words is "one billion, two hundred fifty million, one hundred sixty-one thousand, nine hundred twenty".