122791348884960 has 768 divisors, whose sum is σ = 494615078092800. Its totient is φ = 27869619456000.

The previous prime is 122791348884857. The next prime is 122791348884973. The reversal of 122791348884960 is 69488843197221.

It is a happy number.

122791348884960 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 9 + 1 + 3 + 488 + 84 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18351715215 + ... + 18351721905.

It is an arithmetic number, because the mean of its divisors is an integer number (644030049600).

Almost surely, 2^{122791348884960} is an apocalyptic number.

122791348884960 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 122791348884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247307539046400).

122791348884960 is an abundant number, since it is smaller than the sum of its proper divisors (371823729207840).

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

122791348884960 is a wasteful number, since it uses less digits than its factorization.

122791348884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10892 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 122791348884960 in words is "one hundred twenty-two trillion, seven hundred ninety-one billion, three hundred forty-eight million, eight hundred eighty-four thousand, nine hundred sixty".