122564225280 has 864 divisors, whose sum is σ = 481034502144. Its totient is φ = 26466435072.

The previous prime is 122564225177. The next prime is 122564225291. The reversal of 122564225280 is 82522465221.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 549615249 + ... + 549615471.

It is an arithmetic number, because the mean of its divisors is an integer number (556752896).

Almost surely, 2^122564225280 is an apocalyptic number.

122564225280 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 122564225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240517251072).

122564225280 is an abundant number, since it is smaller than the sum of its proper divisors (358470276864).

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

122564225280 is a wasteful number, since it uses less digits than its factorization.

122564225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 122564225280 in words is "one hundred twenty-two billion, five hundred sixty-four million, two hundred twenty-five thousand, two hundred eighty".