123333327293120 has 448 divisors, whose sum is σ = 340404148955136. Its totient is φ = 41689591971840.

The previous prime is 123333327293093. The next prime is 123333327293153. The reversal of 123333327293120 is 21392723333321.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×123333327293120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116023825709 + ... + 116023826771.

It is an arithmetic number, because the mean of its divisors is an integer number (759830689632).

Almost surely, 2^{123333327293120} is an apocalyptic number.

123333327293120 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 123333327293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170202074477568).

123333327293120 is an abundant number, since it is smaller than the sum of its proper divisors (217070821662016).

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

123333327293120 is a wasteful number, since it uses less digits than its factorization.

123333327293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 44.

The spelling of 123333327293120 in words is "one hundred twenty-three trillion, three hundred thirty-three billion, three hundred twenty-seven million, two hundred ninety-three thousand, one hundred twenty".