122111120200 has 48 divisors (see below), whose sum is σ = 289265140980. Its totient is φ = 47922850560.

The previous prime is 122111120179. The next prime is 122111120203. The reversal of 122111120200 is 2021111221.

It can be written as a sum of positive squares in 6 ways, for example, as 96568048516 + 25543071684 = 310754^2 + 159822^2 .

It is a super-2 number, since 2×122111120200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111120203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5749359 + ... + 5770558.

Almost surely, 2^122111120200 is an apocalyptic number.

122111120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111120200 is an abundant number, since it is smaller than the sum of its proper divisors (167154020780).

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

122111120200 is a wasteful number, since it uses less digits than its factorization.

122111120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11519986 (or 11519977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122111120200 its reverse (2021111221), we get a palindrome (124132231421).

The spelling of 122111120200 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twenty thousand, two hundred".