122111121210984 has 24 divisors (see below), whose sum is σ = 330717619946610. Its totient is φ = 40703707070304.

The previous prime is 122111121210983. The next prime is 122111121210997. The reversal of 122111121210984 is 489012121111221.

122111121210984 is a `hidden beast` number, since 1 + 221 + 11 + 121 + 210 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116767950270084 + 5343170940900 = 10805922^2 + 2311530^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×122111121210984² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122111121210983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 847993897227 + ... + 847993897370.

Almost surely, 2^{122111121210984} is an apocalyptic number.

It is an amenable number.

122111121210984 is an abundant number, since it is smaller than the sum of its proper divisors (208606498735626).

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

122111121210984 is a wasteful number, since it uses less digits than its factorization.

122111121210984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695987794609 (or 1695987794602 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The spelling of 122111121210984 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, two hundred ten thousand, nine hundred eighty-four".