122120120111200 has 72 divisors (see below), whose sum is σ = 298152884290968. Its totient is φ = 48843600967680.

The previous prime is 122120120111071. The next prime is 122120120111207. The reversal of 122120120111200 is 2111021021221.

122120120111200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120120111207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1851339 + ... + 15737461.

It is an arithmetic number, because the mean of its divisors is an integer number (4141012281819).

Almost surely, 2^{122120120111200} is an apocalyptic number.

122120120111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120120111200 is an abundant number, since it is smaller than the sum of its proper divisors (176032764179768).

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

122120120111200 is a wasteful number, since it uses less digits than its factorization.

122120120111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13897136 (or 13897123 counting only the distinct ones).

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

Adding to 122120120111200 its reverse (2111021021221), we get a palindrome (124231141132421).

The spelling of 122120120111200 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty million, one hundred eleven thousand, two hundred".