12327177093120 has 1632 divisors, whose sum is σ = 47486943608832. Its totient is φ = 3060705263616.

The previous prime is 12327177093037. The next prime is 12327177093149. The reversal of 12327177093120 is 2139077172321.

12327177093120 is a `hidden beast` number, since 1 + 2 + 327 + 1 + 7 + 7 + 0 + 9 + 312 + 0 = 666.

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

It is a congruent number.

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, 97064386497 + ... + 97064386623.

Almost surely, 2^{12327177093120} is an apocalyptic number.

12327177093120 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 12327177093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23743471804416).

12327177093120 is an abundant number, since it is smaller than the sum of its proper divisors (35159766515712).

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

12327177093120 is an frugal number, since it uses more digits than its factorization.

12327177093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 12327177093120 in words is "twelve trillion, three hundred twenty-seven billion, one hundred seventy-seven million, ninety-three thousand, one hundred twenty".