12682721520 has 120 divisors (see below), whose sum is σ = 48677512416. Its totient is φ = 2898906624.

The previous prime is 12682721507. The next prime is 12682721537. The reversal of 12682721520 is 2512728621.

It is a happy number.

12682721520 is a `hidden beast` number, since 1 + 2 + 68 + 2 + 72 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12682721520² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253167 + ... + 1263246.

Almost surely, 2^12682721520 is an apocalyptic number.

12682721520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12682721520 is an abundant number, since it is smaller than the sum of its proper divisors (35994790896).

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

12682721520 is a wasteful number, since it uses less digits than its factorization.

12682721520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516439 (or 2516430 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12682721520 in words is "twelve billion, six hundred eighty-two million, seven hundred twenty-one thousand, five hundred twenty".