12231376725600 has 1152 divisors, whose sum is σ = 45931620188160. Its totient is φ = 3139264512000.

The previous prime is 12231376725569. The next prime is 12231376725619. The reversal of 12231376725600 is 652767313221.

12231376725600 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 37 + 6 + 7 + 2 + 5 + 600 = 666.

It is a super-3 number, since 3×12231376725600³ (a number of 40 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 28247982984 + ... + 28247983416.

It is an arithmetic number, because the mean of its divisors is an integer number (39871198080).

Almost surely, 2^{12231376725600} is an apocalyptic number.

12231376725600 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 12231376725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22965810094080).

12231376725600 is an abundant number, since it is smaller than the sum of its proper divisors (33700243462560).

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

12231376725600 is a wasteful number, since it uses less digits than its factorization.

12231376725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 12231376725600 in words is "twelve trillion, two hundred thirty-one billion, three hundred seventy-six million, seven hundred twenty-five thousand, six hundred".