122929303932960 has 384 divisors, whose sum is σ = 447268781836800. Its totient is φ = 27798444048384.

The previous prime is 122929303932949. The next prime is 122929303932991. The reversal of 122929303932960 is 69239303929221.

It is a happy number.

It is a super-2 number, since 2×122929303932960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 122929303932894 and 122929303932903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924568566 + ... + 924701514.

It is an arithmetic number, because the mean of its divisors is an integer number (1164762452700).

Almost surely, 2^{122929303932960} is an apocalyptic number.

122929303932960 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 122929303932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223634390918400).

122929303932960 is an abundant number, since it is smaller than the sum of its proper divisors (324339477903840).

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

122929303932960 is a wasteful number, since it uses less digits than its factorization.

122929303932960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135908 (or 135900 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 60.

The spelling of 122929303932960 in words is "one hundred twenty-two trillion, nine hundred twenty-nine billion, three hundred three million, nine hundred thirty-two thousand, nine hundred sixty".