122539950720 has 768 divisors, whose sum is σ = 478452199680. Its totient is φ = 28638904320.

The previous prime is 122539950667. The next prime is 122539950727. The reversal of 122539950720 is 27059935221.

122539950720 is a `hidden beast` number, since 1 + 2 + 2 + 53 + 99 + 507 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122539950727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391501284 + ... + 391501596.

It is an arithmetic number, because the mean of its divisors is an integer number (622984635).

Almost surely, 2^122539950720 is an apocalyptic number.

122539950720 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 122539950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239226099840).

122539950720 is an abundant number, since it is smaller than the sum of its proper divisors (355912248960).

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

122539950720 is a wasteful number, since it uses less digits than its factorization.

122539950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 122539950720 in words is "one hundred twenty-two billion, five hundred thirty-nine million, nine hundred fifty thousand, seven hundred twenty".