122111110120200 has 96 divisors (see below), whose sum is σ = 378650098176000. Its totient is φ = 32553873941760.

The previous prime is 122111110120199. The next prime is 122111110120201. The reversal of 122111110120200 is 2021011111221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122111110120199) and next prime (122111110120201).

It is a super-2 number, since 2×122111110120200² (a number of 29 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 122111110120200.

It is not an unprimeable number, because it can be changed into a prime (122111110120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26250775 + ... + 30550374.

It is an arithmetic number, because the mean of its divisors is an integer number (3944271856000).

Almost surely, 2^{122111110120200} is an apocalyptic number.

122111110120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111110120200 is an abundant number, since it is smaller than the sum of its proper divisors (256538988055800).

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

122111110120200 is a wasteful number, since it uses less digits than its factorization.

122111110120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56804751 (or 56804742 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122111110120200 its reverse (2021011111221), we get a palindrome (124132121231421).

The spelling of 122111110120200 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred ten million, one hundred twenty thousand, two hundred".