122100110221200 has 720 divisors, whose sum is σ = 414991693206720. Its totient is φ = 30680860672000.

The previous prime is 122100110221181. The next prime is 122100110221217. The reversal of 122100110221200 is 2122011001221.

122100110221200 is digitally balanced in base 4, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122100110221200.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15875709355 + ... + 15875717045.

It is an arithmetic number, because the mean of its divisors is an integer number (576377351676).

Almost surely, 2^{122100110221200} is an apocalyptic number.

122100110221200 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 122100110221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207495846603360).

122100110221200 is an abundant number, since it is smaller than the sum of its proper divisors (292891582985520).

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

122100110221200 is a wasteful number, since it uses less digits than its factorization.

122100110221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128 (or 8094 counting only the distinct ones).

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

Adding to 122100110221200 its reverse (2122011001221), we get a palindrome (124222121222421).

The spelling of 122100110221200 in words is "one hundred twenty-two trillion, one hundred billion, one hundred ten million, two hundred twenty-one thousand, two hundred".