122133184992 has 864 divisors, whose sum is σ = 466664405760. Its totient is φ = 30423444480.

The previous prime is 122133184963. The next prime is 122133185003. The reversal of 122133184992 is 299481331221.

122133184992 is a `hidden beast` number, since 1 + 22 + 133 + 1 + 8 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 368982267 + ... + 368982597.

It is an arithmetic number, because the mean of its divisors is an integer number (540120840).

Almost surely, 2^122133184992 is an apocalyptic number.

122133184992 is a gapful number since it is divisible by the number (12) 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 122133184992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233332202880).

122133184992 is an abundant number, since it is smaller than the sum of its proper divisors (344531220768).

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

122133184992 is a wasteful number, since it uses less digits than its factorization.

122133184992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 375 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 122133184992 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred eighty-four thousand, nine hundred ninety-two".