122293132560 has 1120 divisors, whose sum is σ = 489008130048. Its totient is φ = 28247408640.

The previous prime is 122293132541. The next prime is 122293132613. The reversal of 122293132560 is 65231392221.

122293132560 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 93 + 1 + 3 + 2 + 560 = 666.

It is a super-2 number, since 2×122293132560² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 706896634 + ... + 706896806.

Almost surely, 2^122293132560 is an apocalyptic number.

122293132560 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 122293132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244504065024).

122293132560 is an abundant number, since it is smaller than the sum of its proper divisors (366714997488).

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

122293132560 is a wasteful number, since it uses less digits than its factorization.

122293132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 122293132560 in words is "one hundred twenty-two billion, two hundred ninety-three million, one hundred thirty-two thousand, five hundred sixty".