122936647680 has 1344 divisors, whose sum is σ = 547625235456. Its totient is φ = 24772608000.

The previous prime is 122936647679. The next prime is 122936647699. The reversal of 122936647680 is 86746639221.

122936647680 is a `hidden beast` number, since 1 + 2 + 2 + 93 + 6 + 6 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×122936647680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1731502045 + ... + 1731502115.

Almost surely, 2^122936647680 is an apocalyptic number.

122936647680 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 122936647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273812617728).

122936647680 is an abundant number, since it is smaller than the sum of its proper divisors (424688587776).

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

122936647680 is a wasteful number, since it uses less digits than its factorization.

122936647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 122936647680 in words is "one hundred twenty-two billion, nine hundred thirty-six million, six hundred forty-seven thousand, six hundred eighty".