12248806038560 has 432 divisors, whose sum is σ = 36556764237000. Its totient is φ = 3865291702272.

The previous prime is 12248806038517. The next prime is 12248806038563. The reversal of 12248806038560 is 6583060884221.

12248806038560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 97976512144 + 12150829526416 = 313012^2 + 3485804^2 .

It is not an unprimeable number, because it can be changed into a prime (12248806038563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 462397796 + ... + 462424284.

Almost surely, 2^{12248806038560} is an apocalyptic number.

12248806038560 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 12248806038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278382118500).

12248806038560 is an abundant number, since it is smaller than the sum of its proper divisors (24307958198440).

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

12248806038560 is a wasteful number, since it uses less digits than its factorization.

12248806038560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26893 (or 26865 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 12248806038560 in words is "twelve trillion, two hundred forty-eight billion, eight hundred six million, thirty-eight thousand, five hundred sixty".