120257660250 has 384 divisors, whose sum is σ = 402728481792. Its totient is φ = 25213939200.

The previous prime is 120257660249. The next prime is 120257660329. The reversal of 120257660250 is 52066752021.

120257660250 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 576 + 60 + 25 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34191492 + ... + 34195008.

It is an arithmetic number, because the mean of its divisors is an integer number (1048772088).

Almost surely, 2^120257660250 is an apocalyptic number.

120257660250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120257660250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201364240896).

120257660250 is an abundant number, since it is smaller than the sum of its proper divisors (282470821542).

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

120257660250 is a wasteful number, since it uses less digits than its factorization.

120257660250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 120257660250 in words is "one hundred twenty billion, two hundred fifty-seven million, six hundred sixty thousand, two hundred fifty".