12327196273920 has 720 divisors, whose sum is σ = 48465670397760. Its totient is φ = 2966873702400.

The previous prime is 12327196273841. The next prime is 12327196273933. The reversal of 12327196273920 is 2937269172321.

12327196273920 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 7 + 1 + 9 + 627 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×12327196273920³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 158487840 + ... + 158565600.

It is an arithmetic number, because the mean of its divisors is an integer number (67313431108).

Almost surely, 2^{12327196273920} is an apocalyptic number.

12327196273920 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 12327196273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24232835198880).

12327196273920 is an abundant number, since it is smaller than the sum of its proper divisors (36138474123840).

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

12327196273920 is a wasteful number, since it uses less digits than its factorization.

12327196273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77944 (or 77921 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 12327196273920 in words is "twelve trillion, three hundred twenty-seven billion, one hundred ninety-six million, two hundred seventy-three thousand, nine hundred twenty".