122136674000 has 480 divisors, whose sum is σ = 346395329280. Its totient is φ = 41500800000.

The previous prime is 122136673987. The next prime is 122136674039. The reversal of 122136674000 is 476631221.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 464397869 + ... + 464398131.

It is an arithmetic number, because the mean of its divisors is an integer number (721656936).

Almost surely, 2^122136674000 is an apocalyptic number.

122136674000 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 122136674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173197664640).

122136674000 is an abundant number, since it is smaller than the sum of its proper divisors (224258655280).

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

122136674000 is a wasteful number, since it uses less digits than its factorization.

122136674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 122136674000 in words is "one hundred twenty-two billion, one hundred thirty-six million, six hundred seventy-four thousand".