122101200121200 has 60 divisors (see below), whose sum is σ = 391130844392088. Its totient is φ = 32560320032000.

The previous prime is 122101200121189. The next prime is 122101200121237. The reversal of 122101200121200 is 2121002101221.

It is a tau number, because it is divible by the number of its divisors (60).

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 122101200121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50875498851 + ... + 50875501250.

Almost surely, 2^{122101200121200} is an apocalyptic number.

122101200121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101200121200 is an abundant number, since it is smaller than the sum of its proper divisors (269029644270888).

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

122101200121200 is a wasteful number, since it uses less digits than its factorization.

122101200121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101751000122 (or 101751000111 counting only the distinct ones).

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

Adding to 122101200121200 its reverse (2121002101221), we get a palindrome (124222202222421).

The spelling of 122101200121200 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred million, one hundred twenty-one thousand, two hundred".