122865384259800 has 960 divisors, whose sum is σ = 527928258137280. Its totient is φ = 25788868853760.

The previous prime is 122865384259763. The next prime is 122865384259831. The reversal of 122865384259800 is 8952483568221.

It is a happy number.

122865384259800 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 6 + 5 + 38 + 4 + 2 + 598 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 284304684 + ... + 284736516.

It is an arithmetic number, because the mean of its divisors is an integer number (549925268893).

Almost surely, 2^{122865384259800} is an apocalyptic number.

122865384259800 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 122865384259800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263964129068640).

122865384259800 is an abundant number, since it is smaller than the sum of its proper divisors (405062873877480).

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

122865384259800 is a wasteful number, since it uses less digits than its factorization.

122865384259800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432074 (or 432056 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 122865384259800 in words is "one hundred twenty-two trillion, eight hundred sixty-five billion, three hundred eighty-four million, two hundred fifty-nine thousand, eight hundred".