12821757312 has 128 divisors (see below), whose sum is σ = 41917397760. Its totient is φ = 3381553152.

The previous prime is 12821757293. The next prime is 12821757317. The reversal of 12821757312 is 21375712821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12821757317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148518 + ... + 218405.

It is an arithmetic number, because the mean of its divisors is an integer number (327479670).

Almost surely, 2^12821757312 is an apocalyptic number.

12821757312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12821757312 is an abundant number, since it is smaller than the sum of its proper divisors (29095640448).

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

12821757312 is a wasteful number, since it uses less digits than its factorization.

12821757312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366960 (or 366948 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The spelling of 12821757312 in words is "twelve billion, eight hundred twenty-one million, seven hundred fifty-seven thousand, three hundred twelve".