120590961 has 32 divisors (see below), whose sum is σ = 174750720. Its totient is φ = 73785600.

The previous prime is 120590959. The next prime is 120590969. The reversal of 120590961 is 169095021.

It is not a de Polignac number, because 120590961 - 2¹ = 120590959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120590969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164151 + ... + 164883.

It is an arithmetic number, because the mean of its divisors is an integer number (5460960).

Almost surely, 2^120590961 is an apocalyptic number.

It is an amenable number.

120590961 is a deficient number, since it is larger than the sum of its proper divisors (54159759).

120590961 is a wasteful number, since it uses less digits than its factorization.

120590961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857.

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 120590961 is about 10981.3915784840. The cubic root of 120590961 is about 494.0507755400.

The spelling of 120590961 in words is "one hundred twenty million, five hundred ninety thousand, nine hundred sixty-one".