12722701824 has 540 divisors, whose sum is σ = 44897370804. Its totient is φ = 3457327104.

The previous prime is 12722701813. The next prime is 12722701829. The reversal of 12722701824 is 42810722721.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12722701829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 189891039 + ... + 189891105.

Almost surely, 2^12722701824 is an apocalyptic number.

12722701824 is a gapful number since it is divisible by the number (14) 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 12722701824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22448685402).

12722701824 is an abundant number, since it is smaller than the sum of its proper divisors (32174668980).

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

12722701824 is an equidigital number, since it uses as much as digits as its factorization.

12722701824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 12722701824 in words is "twelve billion, seven hundred twenty-two million, seven hundred one thousand, eight hundred twenty-four".