120013211100 has 144 divisors (see below), whose sum is σ = 372129182208. Its totient is φ = 29784648960.

The previous prime is 120013211099. The next prime is 120013211111. The reversal of 120013211100 is 1112310021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20257 + ... + 490343.

It is an arithmetic number, because the mean of its divisors is an integer number (2584230432).

Almost surely, 2^120013211100 is an apocalyptic number.

120013211100 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 120013211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186064591104).

120013211100 is an abundant number, since it is smaller than the sum of its proper divisors (252115971108).

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

120013211100 is a wasteful number, since it uses less digits than its factorization.

120013211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470164 (or 470157 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 120013211100 its reverse (1112310021), we get a palindrome (121125521121).

The spelling of 120013211100 in words is "one hundred twenty billion, thirteen million, two hundred eleven thousand, one hundred".