122564825280 has 672 divisors, whose sum is σ = 445056768000. Its totient is φ = 30932066304.

The previous prime is 122564825261. The next prime is 122564825293. The reversal of 122564825280 is 82528465221.

122564825280 is a `hidden beast` number, since 1 + 2 + 2 + 564 + 8 + 2 + 5 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 822582646 + ... + 822582794.

Almost surely, 2^122564825280 is an apocalyptic number.

122564825280 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 122564825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222528384000).

122564825280 is an abundant number, since it is smaller than the sum of its proper divisors (322491942720).

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

122564825280 is a wasteful number, since it uses less digits than its factorization.

122564825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 122564825280 in words is "one hundred twenty-two billion, five hundred sixty-four million, eight hundred twenty-five thousand, two hundred eighty".