123327272821600 has 72 divisors (see below), whose sum is σ = 301074284621880. Its totient is φ = 49330650270720.

The previous prime is 123327272821591. The next prime is 123327272821657. The reversal of 123327272821600 is 6128272723321.

123327272821600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123327272821600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245620404 + ... + 246121996.

It is an arithmetic number, because the mean of its divisors is an integer number (4181587286415).

Almost surely, 2^{123327272821600} is an apocalyptic number.

123327272821600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123327272821600 is an abundant number, since it is smaller than the sum of its proper divisors (177747011800280).

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

123327272821600 is a wasteful number, since it uses less digits than its factorization.

123327272821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808952 (or 808939 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 123327272821600 in words is "one hundred twenty-three trillion, three hundred twenty-seven billion, two hundred seventy-two million, eight hundred twenty-one thousand, six hundred".