122842780320 has 192 divisors, whose sum is σ = 416937628800. Its totient is φ = 30222471168.

The previous prime is 122842780309. The next prime is 122842780343. The reversal of 122842780320 is 23087248221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15951831 + ... + 15959529.

It is an arithmetic number, because the mean of its divisors is an integer number (2171550150).

Almost surely, 2^122842780320 is an apocalyptic number.

122842780320 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 122842780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208468814400).

122842780320 is an abundant number, since it is smaller than the sum of its proper divisors (294094848480).

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

122842780320 is a wasteful number, since it uses less digits than its factorization.

122842780320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287 (or 10279 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 122842780320 in words is "one hundred twenty-two billion, eight hundred forty-two million, seven hundred eighty thousand, three hundred twenty".