122111412984 has 48 divisors (see below), whose sum is σ = 360783722520. Its totient is φ = 37003458240.

The previous prime is 122111412959. The next prime is 122111413007. The reversal of 122111412984 is 489214111221.

122111412984 is a `hidden beast` number, since 1 + 221 + 1 + 141 + 298 + 4 = 666.

It is a super-2 number, since 2×122111412984² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77089747 + ... + 77091330.

Almost surely, 2^122111412984 is an apocalyptic number.

It is an amenable number.

122111412984 is an abundant number, since it is smaller than the sum of its proper divisors (238672309536).

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

122111412984 is a wasteful number, since it uses less digits than its factorization.

122111412984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154181100 (or 154181093 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

It can be divided in two parts, 122111 and 412984, that added together give a triangular number (535095 = T₁₀₃₄).

The spelling of 122111412984 in words is "one hundred twenty-two billion, one hundred eleven million, four hundred twelve thousand, nine hundred eighty-four".