122547107392 has 168 divisors, whose sum is σ = 271161891000. Its totient is φ = 54753312768.

The previous prime is 122547107363. The next prime is 122547107393. The reversal of 122547107392 is 293701745221.

It can be written as a sum of positive squares in 4 ways, for example, as 455566336 + 122091541056 = 21344^2 + 349416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122547107393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85756534 + ... + 85757962.

It is an arithmetic number, because the mean of its divisors is an integer number (1614058875).

Almost surely, 2^122547107392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122547107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135580945500).

122547107392 is an abundant number, since it is smaller than the sum of its proper divisors (148614783608).

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

122547107392 is a wasteful number, since it uses less digits than its factorization.

122547107392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 122547107392 in words is "one hundred twenty-two billion, five hundred forty-seven million, one hundred seven thousand, three hundred ninety-two".