122071528896 has 112 divisors (see below), whose sum is σ = 327635616000. Its totient is φ = 40106391552.

The previous prime is 122071528889. The next prime is 122071528897. The reversal of 122071528896 is 698825170221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122071528897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6987180 + ... + 7004628.

It is an arithmetic number, because the mean of its divisors is an integer number (2925318000).

Almost surely, 2^122071528896 is an apocalyptic number.

122071528896 is a gapful number since it is divisible by the number (16) 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 122071528896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163817808000).

122071528896 is an abundant number, since it is smaller than the sum of its proper divisors (205564087104).

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

122071528896 is a wasteful number, since it uses less digits than its factorization.

122071528896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17986 (or 17976 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 122071528896 in words is "one hundred twenty-two billion, seventy-one million, five hundred twenty-eight thousand, eight hundred ninety-six".