120122100220200 has 192 divisors, whose sum is σ = 403577302316160. Its totient is φ = 29380182174720.

The previous prime is 120122100220181. The next prime is 120122100220217. The reversal of 120122100220200 is 2022001221021.

It is a super-2 number, since 2×120122100220200² (a number of 29 digits) contains 22 as substring.

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 120122100220200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47820844 + ... + 50270043.

It is an arithmetic number, because the mean of its divisors is an integer number (2101965116230).

Almost surely, 2^{120122100220200} is an apocalyptic number.

120122100220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122100220200 is an abundant number, since it is smaller than the sum of its proper divisors (283455202095960).

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

120122100220200 is a wasteful number, since it uses less digits than its factorization.

120122100220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98091076 (or 98091067 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120122100220200 its reverse (2022001221021), we get a palindrome (122144101441221).

The spelling of 120122100220200 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred million, two hundred twenty thousand, two hundred".