12522782720 has 256 divisors, whose sum is σ = 35105788800. Its totient is φ = 4199546880.

The previous prime is 12522782711. The next prime is 12522782729. The reversal of 12522782720 is 2728722521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12522782711) and next prime (12522782729).

It is a tau number, because it is divible by the number of its divisors (256).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12522782729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69959591 + ... + 69959769.

Almost surely, 2^12522782720 is an apocalyptic number.

12522782720 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 12522782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552894400).

12522782720 is an abundant number, since it is smaller than the sum of its proper divisors (22583006080).

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

12522782720 is an frugal number, since it uses more digits than its factorization.

12522782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

The spelling of 12522782720 in words is "twelve billion, five hundred twenty-two million, seven hundred eighty-two thousand, seven hundred twenty".