123336042664320 has 512 divisors, whose sum is σ = 439187386176000. Its totient is φ = 32711115644928.

The previous prime is 123336042664229. The next prime is 123336042664327. The reversal of 123336042664320 is 23466240633321.

123336042664320 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 3 + 60 + 4 + 266 + 4 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123336042664327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14443846611 + ... + 14443855149.

It is an arithmetic number, because the mean of its divisors is an integer number (857787863625).

Almost surely, 2^{123336042664320} is an apocalyptic number.

123336042664320 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 123336042664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219593693088000).

123336042664320 is an abundant number, since it is smaller than the sum of its proper divisors (315851343511680).

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

123336042664320 is a wasteful number, since it uses less digits than its factorization.

123336042664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13007 (or 12989 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 45.

The spelling of 123336042664320 in words is "one hundred twenty-three trillion, three hundred thirty-six billion, forty-two million, six hundred sixty-four thousand, three hundred twenty".