122202416896000 has 1536 divisors, whose sum is σ = 366223547289600. Its totient is φ = 39839308185600.

The previous prime is 122202416895989. The next prime is 122202416896051. The reversal of 122202416896000 is 698614202221.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 706372351914 + ... + 706372352086.

It is an arithmetic number, because the mean of its divisors is an integer number (238426788600).

Almost surely, 2^{122202416896000} is an apocalyptic number.

122202416896000 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 122202416896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183111773644800).

122202416896000 is an abundant number, since it is smaller than the sum of its proper divisors (244021130393600).

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

122202416896000 is a wasteful number, since it uses less digits than its factorization.

122202416896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 122202416896000 in words is "one hundred twenty-two trillion, two hundred two billion, four hundred sixteen million, eight hundred ninety-six thousand".