120956814 has 80 divisors (see below), whose sum is σ = 298995840. Its totient is φ = 36242640.

The previous prime is 120956791. The next prime is 120956833. The reversal of 120956814 is 418659021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 183217 + ... + 183875.

It is an arithmetic number, because the mean of its divisors is an integer number (3737448).

Almost surely, 2^120956814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120956814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149497920).

120956814 is an abundant number, since it is smaller than the sum of its proper divisors (178039026).

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

120956814 is a wasteful number, since it uses less digits than its factorization.

120956814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 120956814 is about 10998.0368248156. The cubic root of 120956814 is about 494.5498938705.

The spelling of 120956814 in words is "one hundred twenty million, nine hundred fifty-six thousand, eight hundred fourteen".