122100202011200 has 336 divisors, whose sum is σ = 346911335908224. Its totient is φ = 41430693888000.

The previous prime is 122100202011199. The next prime is 122100202011211. The reversal of 122100202011200 is 2110202001221.

122100202011200 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 (14).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2790648524 + ... + 2790692276.

Almost surely, 2^{122100202011200} is an apocalyptic number.

122100202011200 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 122100202011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173455667954112).

122100202011200 is an abundant number, since it is smaller than the sum of its proper divisors (224811133897024).

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

122100202011200 is a wasteful number, since it uses less digits than its factorization.

122100202011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46350 (or 46335 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122100202011200 its reverse (2110202001221), we get a palindrome (124210404012421).

The spelling of 122100202011200 in words is "one hundred twenty-two trillion, one hundred billion, two hundred two million, eleven thousand, two hundred".