12132909727400 has 432 divisors, whose sum is σ = 38027424080160. Its totient is φ = 3559224883200.

The previous prime is 12132909727391. The next prime is 12132909727423. The reversal of 12132909727400 is 472790923121.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 30959477 + ... + 31348923.

It is an arithmetic number, because the mean of its divisors is an integer number (88026444630).

Almost surely, 2^{12132909727400} is an apocalyptic number.

12132909727400 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 12132909727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19013712040080).

12132909727400 is an abundant number, since it is smaller than the sum of its proper divisors (25894514352760).

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

12132909727400 is a wasteful number, since it uses less digits than its factorization.

12132909727400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389522 (or 389489 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 12132909727400 in words is "twelve trillion, one hundred thirty-two billion, nine hundred nine million, seven hundred twenty-seven thousand, four hundred".