123321060393408 has 504 divisors, whose sum is σ = 390306006970880. Its totient is φ = 37166340879360.

The previous prime is 123321060393407. The next prime is 123321060393457. The reversal of 123321060393408 is 804393060123321.

123321060393408 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 2 + 1 + 0 + 603 + 9 + 34 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123321060393407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 406018623 + ... + 406322241.

Almost surely, 2^{123321060393408} is an apocalyptic number.

123321060393408 is a gapful number since it is divisible by the number (18) 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 123321060393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195153003485440).

123321060393408 is an abundant number, since it is smaller than the sum of its proper divisors (266984946577472).

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

123321060393408 is a wasteful number, since it uses less digits than its factorization.

123321060393408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303757 (or 303721 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 123321060393408 in words is "one hundred twenty-three trillion, three hundred twenty-one billion, sixty million, three hundred ninety-three thousand, four hundred eight".