122111112000200 has 48 divisors (see below), whose sum is σ = 288562570435860. Its totient is φ = 48043716192000.

The previous prime is 122111112000169. The next prime is 122111112000239. The reversal of 122111112000200 is 2000211111221.

It can be written as a sum of positive squares in 6 ways, for example, as 47857423424836 + 74253688575364 = 6917906^2 + 8617058^2 .

It is a super-2 number, since 2×122111112000200² (a number of 29 digits) contains 22 as substring.

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, 5004541571 + ... + 5004565970.

Almost surely, 2^{122111112000200} is an apocalyptic number.

122111112000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111112000200 is an abundant number, since it is smaller than the sum of its proper divisors (166451458435660).

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

122111112000200 is a wasteful number, since it uses less digits than its factorization.

122111112000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10009107618 (or 10009107609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122111112000200 its reverse (2000211111221), we get a palindrome (124111323111421).

The spelling of 122111112000200 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twelve million, two hundred", and thus it is an aban number.