122211103200 has 72 divisors (see below), whose sum is σ = 397797148728. Its totient is φ = 32589626880.

The previous prime is 122211103121. The next prime is 122211103237. The reversal of 122211103200 is 2301112221.

It is a super-2 number, since 2×122211103200² (a number of 23 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 122211103200.

It is a congruent number.

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, 25458247 + ... + 25463046.

It is an arithmetic number, because the mean of its divisors is an integer number (5524960399).

Almost surely, 2^122211103200 is an apocalyptic number.

122211103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211103200 is an abundant number, since it is smaller than the sum of its proper divisors (275586045528).

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

122211103200 is a wasteful number, since it uses less digits than its factorization.

122211103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50921316 (or 50921303 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122211103200 its reverse (2301112221), we get a palindrome (124512215421).

The spelling of 122211103200 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred three thousand, two hundred".