122005533760 has 112 divisors (see below), whose sum is σ = 317052911232. Its totient is φ = 44349440000.

The previous prime is 122005533733. The next prime is 122005533779. The reversal of 122005533760 is 67335500221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14079189 + ... + 14087851.

Almost surely, 2^122005533760 is an apocalyptic number.

122005533760 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 122005533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158526455616).

122005533760 is an abundant number, since it is smaller than the sum of its proper divisors (195047377472).

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

122005533760 is a wasteful number, since it uses less digits than its factorization.

122005533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12692 (or 12682 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 122005533760 in words is "one hundred twenty-two billion, five million, five hundred thirty-three thousand, seven hundred sixty".