12195056025600 has 3072 divisors, whose sum is σ = 53360798976000. Its totient is φ = 2441588244480.

The previous prime is 12195056025589. The next prime is 12195056025611. The reversal of 12195056025600 is 652065059121.

It is an interprime number because it is at equal distance from previous prime (12195056025589) and next prime (12195056025611).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 329596108782 + ... + 329596108818.

It is an arithmetic number, because the mean of its divisors is an integer number (17370051750).

Almost surely, 2^{12195056025600} is an apocalyptic number.

12195056025600 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 12195056025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26680399488000).

12195056025600 is an abundant number, since it is smaller than the sum of its proper divisors (41165742950400).

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

12195056025600 is an equidigital number, since it uses as much as digits as its factorization.

12195056025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 12195056025600 in words is "twelve trillion, one hundred ninety-five billion, fifty-six million, twenty-five thousand, six hundred".