122912985529600 has 216 divisors, whose sum is σ = 347712222993408. Its totient is φ = 42138914611200.

The previous prime is 122912985529589. The next prime is 122912985529651. The reversal of 122912985529600 is 6925589219221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782622282 + ... + 782779318.

Almost surely, 2^{122912985529600} is an apocalyptic number.

122912985529600 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 122912985529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173856111496704).

122912985529600 is an abundant number, since it is smaller than the sum of its proper divisors (224799237463808).

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

122912985529600 is a wasteful number, since it uses less digits than its factorization.

122912985529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174541 (or 174522 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 61.

The spelling of 122912985529600 in words is "one hundred twenty-two trillion, nine hundred twelve billion, nine hundred eighty-five million, five hundred twenty-nine thousand, six hundred".