12332512051200 has 1350 divisors, whose sum is σ = 50357550520732. Its totient is φ = 2989699891200.

The previous prime is 12332512051199. The next prime is 12332512051229. The reversal of 12332512051200 is 215021523321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12332512051200 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 25 + 120 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1121137459195 + ... + 1121137459205.

Almost surely, 2^{12332512051200} is an apocalyptic number.

12332512051200 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 12332512051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25178775260366).

12332512051200 is an abundant number, since it is smaller than the sum of its proper divisors (38025038469532).

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

12332512051200 is an frugal number, since it uses more digits than its factorization.

12332512051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 12332512051200 by its sum of digits (27), we get a square (332977825382400 = 18247680²).

12332512051200 divided by its sum of digits (27) gives a square (456759705600 = 675840²).

Adding to 12332512051200 its reverse (215021523321), we get a palindrome (12547533574521).

The spelling of 12332512051200 in words is "twelve trillion, three hundred thirty-two billion, five hundred twelve million, fifty-one thousand, two hundred".