12821580720 has 200 divisors, whose sum is σ = 47957045136. Its totient is φ = 3156060672.

The previous prime is 12821580697. The next prime is 12821580743. The reversal of 12821580720 is 2708512821.

12821580720 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 1 + 580 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12821580697) and next prime (12821580743).

It is a super-3 number, since 3×12821580720³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 8139 + ... + 160341.

Almost surely, 2^12821580720 is an apocalyptic number.

12821580720 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 12821580720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23978522568).

12821580720 is an abundant number, since it is smaller than the sum of its proper divisors (35135464416).

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

12821580720 is a wasteful number, since it uses less digits than its factorization.

12821580720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152241 (or 152226 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 12821580720 in words is "twelve billion, eight hundred twenty-one million, five hundred eighty thousand, seven hundred twenty".