122122100111200 has 72 divisors (see below), whose sum is σ = 340720659325872. Its totient is φ = 41870434321920.

The previous prime is 122122100111183. The next prime is 122122100111203. The reversal of 122122100111200 is 2111001221221.

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 (122122100111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10903753339 + ... + 10903764538.

It is an arithmetic number, because the mean of its divisors is an integer number (4732231379526).

Almost surely, 2^{122122100111200} is an apocalyptic number.

122122100111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122100111200 is an abundant number, since it is smaller than the sum of its proper divisors (218598559214672).

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

122122100111200 is a wasteful number, since it uses less digits than its factorization.

122122100111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21807517904 (or 21807517891 counting only the distinct ones).

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

Adding to 122122100111200 its reverse (2111001221221), we get a palindrome (124233101332421).

The spelling of 122122100111200 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred million, one hundred eleven thousand, two hundred".