12812950752 has 384 divisors, whose sum is σ = 41617981440. Its totient is φ = 3373332480.

The previous prime is 12812950741. The next prime is 12812950769. The reversal of 12812950752 is 25705921821.

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 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, 76724173 + ... + 76724339.

It is an arithmetic number, because the mean of its divisors is an integer number (108380160).

Almost surely, 2^12812950752 is an apocalyptic number.

12812950752 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 12812950752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808990720).

12812950752 is an abundant number, since it is smaller than the sum of its proper divisors (28805030688).

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

12812950752 is a wasteful number, since it uses less digits than its factorization.

12812950752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 12812950752 in words is "twelve billion, eight hundred twelve million, nine hundred fifty thousand, seven hundred fifty-two".