120901965 has 16 divisors (see below), whose sum is σ = 193902336. Its totient is φ = 64328000.

The previous prime is 120901933. The next prime is 120901967. The reversal of 120901965 is 569109021.

It is not a de Polignac number, because 120901965 - 2⁵ = 120901933 is a prime.

It is a super-2 number, since 2×120901965² = 29234570281722450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120901967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2886 + ... + 15815.

It is an arithmetic number, because the mean of its divisors is an integer number (12118896).

Almost surely, 2^120901965 is an apocalyptic number.

120901965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120901965 is a deficient number, since it is larger than the sum of its proper divisors (73000371).

120901965 is a wasteful number, since it uses less digits than its factorization.

120901965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19140.

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

The square root of 120901965 is about 10995.5429606727. The cubic root of 120901965 is about 494.4751298083.

The spelling of 120901965 in words is "one hundred twenty million, nine hundred one thousand, nine hundred sixty-five".