122888988800 has 72 divisors (see below), whose sum is σ = 303623200335. Its totient is φ = 49147663360.

The previous prime is 122888988767. The next prime is 122888988809. The reversal of 122888988800 is 8889888221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 32018092096 + 90870896704 = 178936^2 + 301448^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247880.

It is not an unprimeable number, because it can be changed into a prime (122888988809) 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 8 ways as a sum of consecutive naturals, for example, 19827302 + ... + 19833498.

Almost surely, 2^122888988800 is an apocalyptic number.

122888988800 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 122888988800

122888988800 is an abundant number, since it is smaller than the sum of its proper divisors (180734211535).

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

122888988800 is an frugal number, since it uses more digits than its factorization.

122888988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12418 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 62.

The spelling of 122888988800 in words is "one hundred twenty-two billion, eight hundred eighty-eight million, nine hundred eighty-eight thousand, eight hundred".