122889830815800 has 768 divisors, whose sum is σ = 457904192256000. Its totient is φ = 30174713118720.

The previous prime is 122889830815793. The next prime is 122889830815819. The reversal of 122889830815800 is 8518038988221.

122889830815800 is a `hidden beast` number, since 1 + 228 + 8 + 98 + 308 + 15 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16304869632 + ... + 16304877168.

It is an arithmetic number, because the mean of its divisors is an integer number (596229417000).

Almost surely, 2^{122889830815800} is an apocalyptic number.

122889830815800 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 122889830815800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228952096128000).

122889830815800 is an abundant number, since it is smaller than the sum of its proper divisors (335014361440200).

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

122889830815800 is a wasteful number, since it uses less digits than its factorization.

122889830815800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11405 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 63.

The spelling of 122889830815800 in words is "one hundred twenty-two trillion, eight hundred eighty-nine billion, eight hundred thirty million, eight hundred fifteen thousand, eight hundred".