122812675200 has 384 divisors, whose sum is σ = 463969113600. Its totient is φ = 31692902400.

The previous prime is 122812675189. The next prime is 122812675229. The reversal of 122812675200 is 2576218221.

It is a happy number.

122812675200 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 126 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×122812675200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2655474 + ... + 2701326.

It is an arithmetic number, because the mean of its divisors is an integer number (1208252900).

Almost surely, 2^122812675200 is an apocalyptic number.

122812675200 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 122812675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231984556800).

122812675200 is an abundant number, since it is smaller than the sum of its proper divisors (341156438400).

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

122812675200 is a wasteful number, since it uses less digits than its factorization.

122812675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45917 (or 45894 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 122812675200 in words is "one hundred twenty-two billion, eight hundred twelve million, six hundred seventy-five thousand, two hundred".