122211210121000 has 3072 divisors, whose sum is σ = 427122112435200. Its totient is φ = 32316641280000.

The previous prime is 122211210120997. The next prime is 122211210121019. The reversal of 122211210121000 is 121012112221.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 879217338931 + ... + 879217339069.

It is an arithmetic number, because the mean of its divisors is an integer number (139037145975).

Almost surely, 2^{122211210121000} is an apocalyptic number.

122211210121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122211210121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213561056217600).

122211210121000 is an abundant number, since it is smaller than the sum of its proper divisors (304910902314200).

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

122211210121000 is a wasteful number, since it uses less digits than its factorization.

122211210121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122211210121000 its reverse (121012112221), we get a palindrome (122332222233221).

The spelling of 122211210121000 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-one thousand".