122112122001200 has 60 divisors (see below), whose sum is σ = 293375728038120. Its totient is φ = 48844623214080.

The previous prime is 122112122001167. The next prime is 122112122001223. The reversal of 122112122001200 is 2100221211221.

It is a super-2 number, since 2×122112122001200² (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, 106284212 + ... + 107426988.

It is an arithmetic number, because the mean of its divisors is an integer number (4889595467302).

Almost surely, 2^{122112122001200} is an apocalyptic number.

122112122001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112122001200 is an abundant number, since it is smaller than the sum of its proper divisors (171263606036920).

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

122112122001200 is a wasteful number, since it uses less digits than its factorization.

122112122001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409934 (or 1409923 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122112122001200 its reverse (2100221211221), we get a palindrome (124212343212421).

The spelling of 122112122001200 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-two million, one thousand, two hundred".