122800993920 has 512 divisors, whose sum is σ = 478288281600. Its totient is φ = 29529722880.

The previous prime is 122800993817. The next prime is 122800993937. The reversal of 122800993920 is 29399008221.

It is a happy number.

It is a super-3 number, since 3×122800993920³ (a number of 34 digits) contains 333 as substring.

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

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, 24137617 + ... + 24142703.

It is an arithmetic number, because the mean of its divisors is an integer number (934156800).

Almost surely, 2^122800993920 is an apocalyptic number.

122800993920 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 122800993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239144140800).

122800993920 is an abundant number, since it is smaller than the sum of its proper divisors (355487287680).

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

122800993920 is a wasteful number, since it uses less digits than its factorization.

122800993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 122800993920 in words is "one hundred twenty-two billion, eight hundred million, nine hundred ninety-three thousand, nine hundred twenty".