123327018009600 has 1056 divisors, whose sum is σ = 420777587844096. Its totient is φ = 31844833689600.

The previous prime is 123327018009593. The next prime is 123327018009659. The reversal of 123327018009600 is 6900810723321.

It is a super-2 number, since 2×123327018009600² (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 95 ways as a sum of consecutive naturals, for example, 101336908192 + ... + 101336909408.

Almost surely, 2^{123327018009600} is an apocalyptic number.

123327018009600 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 123327018009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210388793922048).

123327018009600 is an abundant number, since it is smaller than the sum of its proper divisors (297450569834496).

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

123327018009600 is a wasteful number, since it uses less digits than its factorization.

123327018009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 123327018009600 in words is "one hundred twenty-three trillion, three hundred twenty-seven billion, eighteen million, nine thousand, six hundred".