122791680 has 576 divisors, whose sum is σ = 529804800. Its totient is φ = 26542080.

The previous prime is 122791657. The next prime is 122791681. The reversal of 122791680 is 86197221.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122791681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6462711 + ... + 6462729.

It is an arithmetic number, because the mean of its divisors is an integer number (919800).

Almost surely, 2^122791680 is an apocalyptic number.

122791680 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 122791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264902400).

122791680 is an abundant number, since it is smaller than the sum of its proper divisors (407013120).

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

122791680 is a wasteful number, since it uses less digits than its factorization.

122791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 122791680 is about 11081.1407355019. The cubic root of 122791680 is about 497.0380618249.

The spelling of 122791680 in words is "one hundred twenty-two million, seven hundred ninety-one thousand, six hundred eighty".