122900684634 has 576 divisors, whose sum is σ = 368337715200. Its totient is φ = 28870732800.

The previous prime is 122900684633. The next prime is 122900684701. The reversal of 122900684634 is 436486009221.

122900684634 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 0 + 0 + 6 + 8 + 4 + 634 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 122900684634.

It is not an unprimeable number, because it can be changed into a prime (122900684633) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 514228687 + ... + 514228925.

It is an arithmetic number, because the mean of its divisors is an integer number (639475200).

Almost surely, 2^122900684634 is an apocalyptic number.

122900684634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122900684634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184168857600).

122900684634 is an abundant number, since it is smaller than the sum of its proper divisors (245437030566).

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

122900684634 is a wasteful number, since it uses less digits than its factorization.

122900684634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 122900684634 in words is "one hundred twenty-two billion, nine hundred million, six hundred eighty-four thousand, six hundred thirty-four".