123896302480320 has 448 divisors, whose sum is σ = 452574803865600. Its totient is φ = 28508644638720.

The previous prime is 123896302480319. The next prime is 123896302480333. The reversal of 123896302480320 is 23084203698321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3167926 + ... + 16057034.

Almost surely, 2^{123896302480320} is an apocalyptic number.

123896302480320 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 123896302480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226287401932800).

123896302480320 is an abundant number, since it is smaller than the sum of its proper divisors (328678501385280).

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

123896302480320 is a wasteful number, since it uses less digits than its factorization.

123896302480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889196 (or 12889186 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 123896302480320 in words is "one hundred twenty-three trillion, eight hundred ninety-six billion, three hundred two million, four hundred eighty thousand, three hundred twenty".