122112212000200 has 96 divisors (see below), whose sum is σ = 289900818497160. Its totient is φ = 47824128000000.

The previous prime is 122112212000161. The next prime is 122112212000203. The reversal of 122112212000200 is 2000212211221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 23681089807684 + 98431122192516 = 4866322^2 + 9921246^2 .

It is a super-2 number, since 2×122112212000200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112212000203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28524801 + ... + 32525200.

Almost surely, 2^{122112212000200} is an apocalyptic number.

122112212000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112212000200 is an abundant number, since it is smaller than the sum of its proper divisors (167788606496960).

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

122112212000200 is a wasteful number, since it uses less digits than its factorization.

122112212000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61050227 (or 61050218 counting only the distinct ones).

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

Adding to 122112212000200 its reverse (2000212211221), we get a palindrome (124112424211421).

The spelling of 122112212000200 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twelve million, two hundred", and thus it is an aban number.