120900681 has 40 divisors (see below), whose sum is σ = 203860800. Its totient is φ = 70731360.

The previous prime is 120900653. The next prime is 120900697. The reversal of 120900681 is 186009021.

It is not a de Polignac number, because 120900681 - 2¹⁰ = 120899657 is a prime.

It is a super-2 number, since 2×120900681² = 29233949332527522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120900601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23500 + ... + 28178.

It is an arithmetic number, because the mean of its divisors is an integer number (5096520).

Almost surely, 2^120900681 is an apocalyptic number.

120900681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120900681 is a deficient number, since it is larger than the sum of its proper divisors (82960119).

120900681 is a wasteful number, since it uses less digits than its factorization.

120900681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 120900681 is about 10995.4845732237. The cubic root of 120900681 is about 494.4733793314.

The spelling of 120900681 in words is "one hundred twenty million, nine hundred thousand, six hundred eighty-one".