122448464046720 has 768 divisors, whose sum is σ = 508234331105280. Its totient is φ = 26574315356160.

The previous prime is 122448464046679. The next prime is 122448464046749. The reversal of 122448464046720 is 27640464844221.

122448464046720 is a `hidden beast` number, since 1 + 2 + 2 + 44 + 84 + 6 + 40 + 467 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65321562 + ... + 67169958.

It is an arithmetic number, because the mean of its divisors is an integer number (661763451960).

Almost surely, 2^{122448464046720} is an apocalyptic number.

122448464046720 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 122448464046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254117165552640).

122448464046720 is an abundant number, since it is smaller than the sum of its proper divisors (385785867058560).

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

122448464046720 is a wasteful number, since it uses less digits than its factorization.

122448464046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848513 (or 1848498 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

The spelling of 122448464046720 in words is "one hundred twenty-two trillion, four hundred forty-eight billion, four hundred sixty-four million, forty-six thousand, seven hundred twenty".