123960336353280 has 3456 divisors, whose sum is σ = 553782428035200. Its totient is φ = 26438714523648.

The previous prime is 123960336353267. The next prime is 123960336353309. The reversal of 123960336353280 is 82353633069321.

123960336353280 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 6 + 0 + 3 + 3 + 6 + 353 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×123960336353280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 169113691794 + ... + 169113692526.

It is an arithmetic number, because the mean of its divisors is an integer number (160237971075).

Almost surely, 2^{123960336353280} is an apocalyptic number.

123960336353280 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 123960336353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276891214017600).

123960336353280 is an abundant number, since it is smaller than the sum of its proper divisors (429822091681920).

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

123960336353280 is an equidigital number, since it uses as much as digits as its factorization.

123960336353280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 123960336353280 in words is "one hundred twenty-three trillion, nine hundred sixty billion, three hundred thirty-six million, three hundred fifty-three thousand, two hundred eighty".