120100864 has 72 divisors (see below), whose sum is σ = 260785980. Its totient is φ = 55271424.

The previous prime is 120100859. The next prime is 120100867. The reversal of 120100864 is 468001021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100867) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 345939 + ... + 346285.

Almost surely, 2^120100864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130392990).

120100864 is an abundant number, since it is smaller than the sum of its proper divisors (140685116).

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

120100864 is an equidigital number, since it uses as much as digits as its factorization.

120100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 120100864 is about 10959.0539737698. The cubic root of 120100864 is about 493.3805717285.

Adding to 120100864 its reverse (468001021), we get a palindrome (588101885).

The spelling of 120100864 in words is "one hundred twenty million, one hundred thousand, eight hundred sixty-four".