122997934080 has 768 divisors, whose sum is σ = 510269760000. Its totient is φ = 28092137472.

The previous prime is 122997934067. The next prime is 122997934153. The reversal of 122997934080 is 80439799221.

122997934080 is a `hidden beast` number, since 1 + 2 + 299 + 7 + 9 + 340 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 94831992 + ... + 94833288.

It is an arithmetic number, because the mean of its divisors is an integer number (664413750).

Almost surely, 2^122997934080 is an apocalyptic number.

122997934080 is a gapful number since it is divisible by the number (10) 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 122997934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255134880000).

122997934080 is an abundant number, since it is smaller than the sum of its proper divisors (387271825920).

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

122997934080 is an equidigital number, since it uses as much as digits as its factorization.

122997934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1314 counting only the distinct ones).

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

The spelling of 122997934080 in words is "one hundred twenty-two billion, nine hundred ninety-seven million, nine hundred thirty-four thousand, eighty".