122111223200 has 72 divisors (see below), whose sum is σ = 298162314828. Its totient is φ = 48834938880.

The previous prime is 122111223187. The next prime is 122111223203. The reversal of 122111223200 is 2322111221.

It can be written as a sum of positive squares in 6 ways, for example, as 7886150416 + 114225072784 = 88804^2 + 337972^2 .

It is a super-2 number, since 2×122111223200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111223203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5230754 + ... + 5254046.

Almost surely, 2^122111223200 is an apocalyptic number.

122111223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111223200 is an abundant number, since it is smaller than the sum of its proper divisors (176051091628).

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

122111223200 is a wasteful number, since it uses less digits than its factorization.

122111223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29866 (or 29853 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122111223200 its reverse (2322111221), we get a palindrome (124433334421).

The spelling of 122111223200 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred twenty-three thousand, two hundred".