120120012100 has 288 divisors, whose sum is σ = 310420131840. Its totient is φ = 39859776000.

The previous prime is 120120012097. The next prime is 120120012137. The reversal of 120120012100 is 1210021021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257216067 + ... + 257216533.

It is an arithmetic number, because the mean of its divisors is an integer number (1077847680).

Almost surely, 2^120120012100 is an apocalyptic number.

120120012100 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 120120012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155210065920).

120120012100 is an abundant number, since it is smaller than the sum of its proper divisors (190300119740).

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

120120012100 is a wasteful number, since it uses less digits than its factorization.

120120012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120120012100 its reverse (1210021021), we get a palindrome (121330033121).

The spelling of 120120012100 in words is "one hundred twenty billion, one hundred twenty million, twelve thousand, one hundred".