120111202210120 has 192 divisors, whose sum is σ = 305020053943920. Its totient is φ = 42510268416000.

The previous prime is 120111202210007. The next prime is 120111202210157. The reversal of 120111202210120 is 21012202111021.

It can be written as a sum of positive squares in 8 ways, for example, as 9796386686724 + 110314815523396 = 3129918^2 + 10503086^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120111202210094 and 120111202210103.

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, 82824384 + ... + 84262096.

Almost surely, 2^{120111202210120} is an apocalyptic number.

120111202210120 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 120111202210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152510026971960).

120111202210120 is an abundant number, since it is smaller than the sum of its proper divisors (184908851733800).

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

120111202210120 is a wasteful number, since it uses less digits than its factorization.

120111202210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438208 (or 1438193 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120111202210120 its reverse (21012202111021), we get a palindrome (141123404321141).

Subtracting from 120111202210120 its reverse (21012202111021), we obtain a palindrome (99099000099099).

The spelling of 120111202210120 in words is "one hundred twenty trillion, one hundred eleven billion, two hundred two million, two hundred ten thousand, one hundred twenty".