122609248800 has 288 divisors, whose sum is σ = 404260875648. Its totient is φ = 32274923520.

The previous prime is 122609248793. The next prime is 122609248847. The reversal of 122609248800 is 8842906221.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 79460829 + ... + 79462371.

It is an arithmetic number, because the mean of its divisors is an integer number (1403683596).

Almost surely, 2^122609248800 is an apocalyptic number.

122609248800 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 122609248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202130437824).

122609248800 is an abundant number, since it is smaller than the sum of its proper divisors (281651626848).

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

122609248800 is a wasteful number, since it uses less digits than its factorization.

122609248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 122609248800 in words is "one hundred twenty-two billion, six hundred nine million, two hundred forty-eight thousand, eight hundred".