12115125804600 has 864 divisors, whose sum is σ = 53186270548320. Its totient is φ = 2445015767040.

The previous prime is 12115125804569. The next prime is 12115125804611. The reversal of 12115125804600 is 640852151121.

12115125804600 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 5 + 12 + 580 + 4 + 60 + 0 = 666.

It is a super-2 number, since 2×12115125804600² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 26142102 + ... + 26601498.

It is an arithmetic number, because the mean of its divisors is an integer number (61558183505).

Almost surely, 2^{12115125804600} is an apocalyptic number.

12115125804600 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 12115125804600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26593135274160).

12115125804600 is an abundant number, since it is smaller than the sum of its proper divisors (41071144743720).

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

12115125804600 is a wasteful number, since it uses less digits than its factorization.

12115125804600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459469 (or 459450 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 12115125804600 its reverse (640852151121), we get a palindrome (12755977955721).

The spelling of 12115125804600 in words is "twelve trillion, one hundred fifteen billion, one hundred twenty-five million, eight hundred four thousand, six hundred".