122932494720 has 512 divisors, whose sum is σ = 503767065600. Its totient is φ = 28096616448.

The previous prime is 122932494703. The next prime is 122932494731. The reversal of 122932494720 is 27494239221.

122932494720 is a `hidden beast` number, since 1 + 2 + 2 + 93 + 2 + 494 + 72 + 0 = 666.

It is a super-2 number, since 2×122932494720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 9791487 + ... + 9804033.

It is an arithmetic number, because the mean of its divisors is an integer number (983920050).

Almost surely, 2^122932494720 is an apocalyptic number.

122932494720 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 122932494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251883532800).

122932494720 is an abundant number, since it is smaller than the sum of its proper divisors (380834570880).

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

122932494720 is an frugal number, since it uses more digits than its factorization.

122932494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 122932494720 in words is "one hundred twenty-two billion, nine hundred thirty-two million, four hundred ninety-four thousand, seven hundred twenty".