122258650747200 has 672 divisors, whose sum is σ = 460844402403840. Its totient is φ = 28063953100800.

The previous prime is 122258650747169. The next prime is 122258650747271. The reversal of 122258650747200 is 2747056852221.

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, 1993327734 + ... + 1993389066.

It is an arithmetic number, because the mean of its divisors is an integer number (685780360720).

Almost surely, 2^{122258650747200} is an apocalyptic number.

122258650747200 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 122258650747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230422201201920).

122258650747200 is an abundant number, since it is smaller than the sum of its proper divisors (338585751656640).

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

122258650747200 is a wasteful number, since it uses less digits than its factorization.

122258650747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63375 (or 63360 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 122258650747200 in words is "one hundred twenty-two trillion, two hundred fifty-eight billion, six hundred fifty million, seven hundred forty-seven thousand, two hundred".