120212211120 has 80 divisors (see below), whose sum is σ = 392271440640. Its totient is φ = 30369399552.

The previous prime is 120212211059. The next prime is 120212211121. The reversal of 120212211120 is 21112212021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120212211120.

It is not an unprimeable number, because it can be changed into a prime (120212211121) 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, 13176604 + ... + 13185723.

It is an arithmetic number, because the mean of its divisors is an integer number (4903393008).

Almost surely, 2^120212211120 is an apocalyptic number.

120212211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212211120 is an abundant number, since it is smaller than the sum of its proper divisors (272059229520).

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

120212211120 is a wasteful number, since it uses less digits than its factorization.

120212211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26362362 (or 26362356 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120212211120 its reverse (21112212021), we get a palindrome (141324423141).

Subtracting from 120212211120 its reverse (21112212021), we obtain a palindrome (99099999099).

The spelling of 120212211120 in words is "one hundred twenty billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".