122111200001000 has 64 divisors (see below), whose sum is σ = 326560237735680. Its totient is φ = 41866697140800.

The previous prime is 122111200000961. The next prime is 122111200001069. The reversal of 122111200001000 is 100002111221.

It is a super-2 number, since 2×122111200001000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8722221572 + ... + 8722235571.

It is an arithmetic number, because the mean of its divisors is an integer number (5102503714620).

Almost surely, 2^{122111200001000} is an apocalyptic number.

122111200001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111200001000 is an abundant number, since it is smaller than the sum of its proper divisors (204449037734680).

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

122111200001000 is a wasteful number, since it uses less digits than its factorization.

122111200001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17444457171 (or 17444457157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122111200001000 its reverse (100002111221), we get a palindrome (122211202112221).

The spelling of 122111200001000 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred million, one thousand".