122022002221200 has 240 divisors, whose sum is σ = 453190896128640. Its totient is φ = 31124452677120.

The previous prime is 122022002221181. The next prime is 122022002221253. The reversal of 122022002221200 is 2122200220221.

122022002221200 is a `hidden beast` number, since 1 + 2 + 20 + 220 + 0 + 2 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 245367547 + ... + 245864346.

It is an arithmetic number, because the mean of its divisors is an integer number (1888295400536).

Almost surely, 2^{122022002221200} is an apocalyptic number.

122022002221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022002221200 is an abundant number, since it is smaller than the sum of its proper divisors (331168893907440).

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

122022002221200 is a wasteful number, since it uses less digits than its factorization.

122022002221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491231943 (or 491231926 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122022002221200 its reverse (2122200220221), we get a palindrome (124144202441421).

The spelling of 122022002221200 in words is "one hundred twenty-two trillion, twenty-two billion, two million, two hundred twenty-one thousand, two hundred".