122112001000200 has 96 divisors (see below), whose sum is σ = 378604894298400. Its totient is φ = 32558237583360.

The previous prime is 122112001000183. The next prime is 122112001000211. The reversal of 122112001000200 is 2000100211221.

It is a super-2 number, since 2×122112001000200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11567305 + ... + 19442904.

It is an arithmetic number, because the mean of its divisors is an integer number (3943800982275).

Almost surely, 2^{122112001000200} is an apocalyptic number.

122112001000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112001000200 is an abundant number, since it is smaller than the sum of its proper divisors (256492893298200).

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

122112001000200 is a wasteful number, since it uses less digits than its factorization.

122112001000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31016791 (or 31016782 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122112001000200 its reverse (2000100211221), we get a palindrome (124112101211421).

The spelling of 122112001000200 in words is "one hundred twenty-two trillion, one hundred twelve billion, one million, two hundred", and thus it is an aban number.