122120113200 has 120 divisors (see below), whose sum is σ = 401764316688. Its totient is φ = 31685207040.

The previous prime is 122120113177. The next prime is 122120113229. The reversal of 122120113200 is 2311021221.

122120113200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 122120113200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330827 + ... + 1419626.

Almost surely, 2^122120113200 is an apocalyptic number.

122120113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120113200 is an abundant number, since it is smaller than the sum of its proper divisors (279644203488).

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

122120113200 is a wasteful number, since it uses less digits than its factorization.

122120113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750511 (or 2750500 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122120113200 its reverse (2311021221), we get a palindrome (124431134421).

The spelling of 122120113200 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred thirteen thousand, two hundred".