122864378560 has 896 divisors, whose sum is σ = 406292060160. Its totient is φ = 34239283200.

The previous prime is 122864378543. The next prime is 122864378573. The reversal of 122864378560 is 65873468221.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 122864378498 and 122864378507.

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, 710198634 + ... + 710198806.

It is an arithmetic number, because the mean of its divisors is an integer number (453450960).

Almost surely, 2^122864378560 is an apocalyptic number.

122864378560 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 122864378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203146030080).

122864378560 is an abundant number, since it is smaller than the sum of its proper divisors (283427681600).

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

122864378560 is a wasteful number, since it uses less digits than its factorization.

122864378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 122864378560 in words is "one hundred twenty-two billion, eight hundred sixty-four million, three hundred seventy-eight thousand, five hundred sixty".