120815132100 has 144 divisors (see below), whose sum is σ = 376676224512. Its totient is φ = 29721047040.

The previous prime is 120815132033. The next prime is 120815132101. The reversal of 120815132100 is 1231518021.

It is a super-2 number, since 2×120815132100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120815132101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7101204 + ... + 7118196.

Almost surely, 2^120815132100 is an apocalyptic number.

120815132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120815132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188338112256).

120815132100 is an abundant number, since it is smaller than the sum of its proper divisors (255861092412).

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

120815132100 is a wasteful number, since it uses less digits than its factorization.

120815132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18846 (or 18839 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 120815132100 in words is "one hundred twenty billion, eight hundred fifteen million, one hundred thirty-two thousand, one hundred".