122965534512 has 160 divisors (see below), whose sum is σ = 378223292160. Its totient is φ = 38112445440.

The previous prime is 122965534511. The next prime is 122965534553. The reversal of 122965534512 is 215435569221.

122965534512 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 65 + 534 + 51 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (122965534511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508687 + ... + 710417.

It is an arithmetic number, because the mean of its divisors is an integer number (2363895576).

Almost surely, 2^122965534512 is an apocalyptic number.

122965534512 is a gapful number since it is divisible by the number (12) 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 122965534512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189111646080).

122965534512 is an abundant number, since it is smaller than the sum of its proper divisors (255257757648).

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

122965534512 is a wasteful number, since it uses less digits than its factorization.

122965534512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201848 (or 201836 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 122965534512 in words is "one hundred twenty-two billion, nine hundred sixty-five million, five hundred thirty-four thousand, five hundred twelve".