122534922432960 has 560 divisors, whose sum is σ = 458903405584800. Its totient is φ = 30950512459776.

The previous prime is 122534922432943. The next prime is 122534922432973. The reversal of 122534922432960 is 69234229435221.

122534922432960 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 34 + 9 + 224 + 329 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 122534922432897 and 122534922432906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3116886264 + ... + 3116925576.

Almost surely, 2^{122534922432960} is an apocalyptic number.

122534922432960 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 122534922432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229451702792400).

122534922432960 is an abundant number, since it is smaller than the sum of its proper divisors (336368483151840).

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

122534922432960 is a wasteful number, since it uses less digits than its factorization.

122534922432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45690 (or 45671 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 122534922432960 in words is "one hundred twenty-two trillion, five hundred thirty-four billion, nine hundred twenty-two million, four hundred thirty-two thousand, nine hundred sixty".