122935012200 has 2592 divisors, whose sum is σ = 617537662560. Its totient is φ = 22338892800.

The previous prime is 122935012183. The next prime is 122935012247. The reversal of 122935012200 is 2210539221.

It is a happy number.

It is a super-2 number, since 2×122935012200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 6470263791 + ... + 6470263809.

It is an arithmetic number, because the mean of its divisors is an integer number (238247555).

Almost surely, 2^122935012200 is an apocalyptic number.

122935012200 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 122935012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308768831280).

122935012200 is an abundant number, since it is smaller than the sum of its proper divisors (494602650360).

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

122935012200 is a wasteful number, since it uses less digits than its factorization.

122935012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 122935012200 in words is "one hundred twenty-two billion, nine hundred thirty-five million, twelve thousand, two hundred".