122211110013000 has 64 divisors (see below), whose sum is σ = 381298663249920. Its totient is φ = 32589629336000.

The previous prime is 122211110012921. The next prime is 122211110013011. The reversal of 122211110013000 is 310011112221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20368515336 + ... + 20368521335.

It is an arithmetic number, because the mean of its divisors is an integer number (5957791613280).

Almost surely, 2^{122211110013000} is an apocalyptic number.

122211110013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211110013000 is an abundant number, since it is smaller than the sum of its proper divisors (259087553236920).

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

122211110013000 is a wasteful number, since it uses less digits than its factorization.

122211110013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40737036695 (or 40737036681 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 122211110013000 its reverse (310011112221), we get a palindrome (122521121125221).

The spelling of 122211110013000 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred ten million, thirteen thousand".