122928920352 has 480 divisors, whose sum is σ = 429381025920. Its totient is φ = 33756549120.

The previous prime is 122928920327. The next prime is 122928920353. The reversal of 122928920352 is 253029829221.

122928920352 is a `hidden beast` number, since 1 + 2 + 292 + 8 + 9 + 2 + 0 + 352 = 666.

It is a super-2 number, since 2×122928920352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122928920298 and 122928920307.

It is not an unprimeable number, because it can be changed into a prime (122928920353) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161535652 + ... + 161536412.

It is an arithmetic number, because the mean of its divisors is an integer number (894543804).

Almost surely, 2^122928920352 is an apocalyptic number.

122928920352 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 122928920352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214690512960).

122928920352 is an abundant number, since it is smaller than the sum of its proper divisors (306452105568).

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

122928920352 is a wasteful number, since it uses less digits than its factorization.

122928920352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 122928920352 in words is "one hundred twenty-two billion, nine hundred twenty-eight million, nine hundred twenty thousand, three hundred fifty-two".