122921299200 has 864 divisors, whose sum is σ = 484169900032. Its totient is φ = 26873856000.

The previous prime is 122921299157. The next prime is 122921299217. The reversal of 122921299200 is 2992129221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679123110 + ... + 679123290.

Almost surely, 2^122921299200 is an apocalyptic number.

122921299200 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 122921299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242084950016).

122921299200 is an abundant number, since it is smaller than the sum of its proper divisors (361248600832).

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

122921299200 is a wasteful number, since it uses less digits than its factorization.

122921299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 122921299200 in words is "one hundred twenty-two billion, nine hundred twenty-one million, two hundred ninety-nine thousand, two hundred".