122185976385200 has 1920 divisors, whose sum is σ = 409744174694400. Its totient is φ = 34627461120000.

The previous prime is 122185976385089. The next prime is 122185976385229. The reversal of 122185976385200 is 2583679581221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122185976385200.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57337388135 + ... + 57337390265.

It is an arithmetic number, because the mean of its divisors is an integer number (213408424320).

Almost surely, 2^{122185976385200} is an apocalyptic number.

122185976385200 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 122185976385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204872087347200).

122185976385200 is an abundant number, since it is smaller than the sum of its proper divisors (287558198309200).

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

122185976385200 is a wasteful number, since it uses less digits than its factorization.

122185976385200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 59.

The spelling of 122185976385200 in words is "one hundred twenty-two trillion, one hundred eighty-five billion, nine hundred seventy-six million, three hundred eighty-five thousand, two hundred".