12132294127200 has 1728 divisors, whose sum is σ = 48154117939200. Its totient is φ = 2855412449280.

The previous prime is 12132294127189. The next prime is 12132294127231. The reversal of 12132294127200 is 272149223121.

12132294127200 is a `hidden beast` number, since 1 + 2 + 1 + 32 + 2 + 9 + 412 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54404906289 + ... + 54404906511.

It is an arithmetic number, because the mean of its divisors is an integer number (27866966400).

Almost surely, 2^{12132294127200} is an apocalyptic number.

12132294127200 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 12132294127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24077058969600).

12132294127200 is an abundant number, since it is smaller than the sum of its proper divisors (36021823812000).

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

12132294127200 is a wasteful number, since it uses less digits than its factorization.

12132294127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12132294127200 in words is "twelve trillion, one hundred thirty-two billion, two hundred ninety-four million, one hundred twenty-seven thousand, two hundred".