122201002121200 has 60 divisors (see below), whose sum is σ = 293932091192488. Its totient is φ = 48823096608000.

The previous prime is 122201002121161. The next prime is 122201002121249. The reversal of 122201002121200 is 2121200102221.

It is a happy number.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 178734126 + ... + 179416525.

Almost surely, 2^{122201002121200} is an apocalyptic number.

122201002121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201002121200 is an abundant number, since it is smaller than the sum of its proper divisors (171731089071288).

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

122201002121200 is a wasteful number, since it uses less digits than its factorization.

122201002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358151522 (or 358151511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122201002121200 its reverse (2121200102221), we get a palindrome (124322202223421).

The spelling of 122201002121200 in words is "one hundred twenty-two trillion, two hundred one billion, two million, one hundred twenty-one thousand, two hundred".