122111221010000 has 50 divisors (see below), whose sum is σ = 295643477211522. Its totient is φ = 48844488400000.

The previous prime is 122111221009991. The next prime is 122111221010011. The reversal of 122111221010000 is 10122111221.

It can be written as a sum of positive squares in 5 ways, for example, as 25541056161856 + 96570164848144 = 5053816^2 + 9827012^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×122111221010000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6105551051 + ... + 6105571050.

Almost surely, 2^{122111221010000} is an apocalyptic number.

122111221010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111221010000 is an abundant number, since it is smaller than the sum of its proper divisors (173532256201522).

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

122111221010000 is an equidigital number, since it uses as much as digits as its factorization.

122111221010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12211122129 (or 12211122108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122111221010000 its reverse (10122111221), we get a palindrome (122121343121221).

The spelling of 122111221010000 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty-one million, ten thousand".