122121002221200 has 180 divisors, whose sum is σ = 435247687175028. Its totient is φ = 31685449190400.

The previous prime is 122121002221199. The next prime is 122121002221223. The reversal of 122121002221200 is 2122200121221.

It is a happy number.

122121002221200 is a `hidden beast` number, since 1 + 221 + 2 + 100 + 222 + 120 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 58102209936 + 122062900011264 = 241044^2 + 11048208^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 458278971 + ... + 458545370.

Almost surely, 2^{122121002221200} is an apocalyptic number.

122121002221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121002221200 is an abundant number, since it is smaller than the sum of its proper divisors (313126684953828).

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

122121002221200 is a wasteful number, since it uses less digits than its factorization.

122121002221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916824402 (or 916824388 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122121002221200 its reverse (2122200121221), we get a palindrome (124243202342421).

The spelling of 122121002221200 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two million, two hundred twenty-one thousand, two hundred".