12825801912 has 256 divisors, whose sum is σ = 42460692480. Its totient is φ = 3125606400.

The previous prime is 12825801883. The next prime is 12825801953. The reversal of 12825801912 is 21910852821.

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 63 ways as a sum of consecutive naturals, for example, 19823173 + ... + 19823819.

It is an arithmetic number, because the mean of its divisors is an integer number (165862080).

Almost surely, 2^12825801912 is an apocalyptic number.

12825801912 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 12825801912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21230346240).

12825801912 is an abundant number, since it is smaller than the sum of its proper divisors (29634890568).

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

12825801912 is a wasteful number, since it uses less digits than its factorization.

12825801912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The spelling of 12825801912 in words is "twelve billion, eight hundred twenty-five million, eight hundred one thousand, nine hundred twelve".