120957690 has 128 divisors (see below), whose sum is σ = 351682560. Its totient is φ = 26028288.

The previous prime is 120957677. The next prime is 120957709. The reversal of 120957690 is 96759021.

It is a super-2 number, since 2×120957690² = 29261525540272200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381412 + ... + 381728.

It is an arithmetic number, because the mean of its divisors is an integer number (2747520).

Almost surely, 2^120957690 is an apocalyptic number.

120957690 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 120957690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175841280).

120957690 is an abundant number, since it is smaller than the sum of its proper divisors (230724870).

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

120957690 is a wasteful number, since it uses less digits than its factorization.

120957690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436.

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 120957690 is about 10998.0766500330. The cubic root of 120957690 is about 494.5510877529.

The spelling of 120957690 in words is "one hundred twenty million, nine hundred fifty-seven thousand, six hundred ninety".