122432808960 has 1536 divisors, whose sum is σ = 557035315200. Its totient is φ = 25082265600.

The previous prime is 122432808941. The next prime is 122432808983. The reversal of 122432808960 is 69808234221.

122432808960 is a `hidden beast` number, since 1 + 2 + 2 + 432 + 80 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 1724405725 + ... + 1724405795.

It is an arithmetic number, because the mean of its divisors is an integer number (362653200).

Almost surely, 2^122432808960 is an apocalyptic number.

122432808960 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 122432808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278517657600).

122432808960 is an abundant number, since it is smaller than the sum of its proper divisors (434602506240).

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

122432808960 is an frugal number, since it uses more digits than its factorization.

122432808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 122432808960 in words is "one hundred twenty-two billion, four hundred thirty-two million, eight hundred eight thousand, nine hundred sixty".