121122211012002 has 96 divisors (see below), whose sum is σ = 279004335667200. Its totient is φ = 37867327926624.

The previous prime is 121122211012001. The next prime is 121122211012007. The reversal of 121122211012002 is 200210112221121.

121122211012002 is a `hidden beast` number, since 1 + 211 + 222 + 110 + 120 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121122211012001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55988503 + ... + 58111589.

It is an arithmetic number, because the mean of its divisors is an integer number (2906295163200).

Almost surely, 2^{121122211012002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122211012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139502167833600).

121122211012002 is an abundant number, since it is smaller than the sum of its proper divisors (157882124655198).

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

121122211012002 is a wasteful number, since it uses less digits than its factorization.

121122211012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124780 (or 2124777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121122211012002 its reverse (200210112221121), we get a palindrome (321332323233123).

The spelling of 121122211012002 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, twelve thousand, two".