122251244050320 has 480 divisors, whose sum is σ = 479497706849280. Its totient is φ = 25220095718400.

The previous prime is 122251244050253. The next prime is 122251244050339. The reversal of 122251244050320 is 23050442152221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26092635 + ... + 30419205.

It is an arithmetic number, because the mean of its divisors is an integer number (998953555936).

Almost surely, 2^{122251244050320} is an apocalyptic number.

122251244050320 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 122251244050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239748853424640).

122251244050320 is an abundant number, since it is smaller than the sum of its proper divisors (357246462798960).

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

122251244050320 is a wasteful number, since it uses less digits than its factorization.

122251244050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326755 (or 4326738 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 122251244050320 in words is "one hundred twenty-two trillion, two hundred fifty-one billion, two hundred forty-four million, fifty thousand, three hundred twenty".