122943598272 has 168 divisors, whose sum is σ = 388396746192. Its totient is φ = 36871372800.

The previous prime is 122943598207. The next prime is 122943598277. The reversal of 122943598272 is 272895349221.

122943598272 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 43 + 598 + 2 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (122943598277) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 514572 + ... + 714612.

It is an arithmetic number, because the mean of its divisors is an integer number (2311885394).

Almost surely, 2^122943598272 is an apocalyptic number.

122943598272 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 122943598272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194198373096).

122943598272 is an abundant number, since it is smaller than the sum of its proper divisors (265453147920).

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

122943598272 is a wasteful number, since it uses less digits than its factorization.

122943598272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200167 (or 200154 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 122943598272 in words is "one hundred twenty-two billion, nine hundred forty-three million, five hundred ninety-eight thousand, two hundred seventy-two".