122004131949792 has 240 divisors, whose sum is σ = 369304400025792. Its totient is φ = 39483431285760.

The previous prime is 122004131949781. The next prime is 122004131949823. The reversal of 122004131949792 is 297949131400221.

122004131949792 is a `hidden beast` number, since 1 + 2 + 20 + 0 + 41 + 3 + 1 + 9 + 497 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43029742 + ... + 45777362.

Almost surely, 2^{122004131949792} is an apocalyptic number.

122004131949792 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 122004131949792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184652200012896).

122004131949792 is an abundant number, since it is smaller than the sum of its proper divisors (247300268076000).

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

122004131949792 is a wasteful number, since it uses less digits than its factorization.

122004131949792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748143 (or 2748126 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 122004131949792 in words is "one hundred twenty-two trillion, four billion, one hundred thirty-one million, nine hundred forty-nine thousand, seven hundred ninety-two".