12875633041152 has 864 divisors, whose sum is σ = 42900385618944. Its totient is φ = 3409639833600.

The previous prime is 12875633041109. The next prime is 12875633041213. The reversal of 12875633041152 is 25114033657821.

12875633041152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5571454077 + ... + 5571456387.

It is an arithmetic number, because the mean of its divisors is an integer number (49653224096).

Almost surely, 2^{12875633041152} is an apocalyptic number.

12875633041152 is a gapful number since it is divisible by the number (12) 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 12875633041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450192809472).

12875633041152 is an abundant number, since it is smaller than the sum of its proper divisors (30024752577792).

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

12875633041152 is a wasteful number, since it uses less digits than its factorization.

12875633041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

Adding to 12875633041152 its reverse (25114033657821), we get a palindrome (37989666698973).

The spelling of 12875633041152 in words is "twelve trillion, eight hundred seventy-five billion, six hundred thirty-three million, forty-one thousand, one hundred fifty-two".