12248404403760 has 480 divisors, whose sum is σ = 47847597557760. Its totient is φ = 2749865932800.

The previous prime is 12248404403759. The next prime is 12248404403789. The reversal of 12248404403760 is 6730440484221.

12248404403760 is a `hidden beast` number, since 122 + 4 + 84 + 0 + 440 + 3 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×12248404403760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366033430 + ... + 366066890.

It is an arithmetic number, because the mean of its divisors is an integer number (99682494912).

Almost surely, 2^{12248404403760} is an apocalyptic number.

12248404403760 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 12248404403760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923798778880).

12248404403760 is an abundant number, since it is smaller than the sum of its proper divisors (35599193154000).

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

12248404403760 is a wasteful number, since it uses less digits than its factorization.

12248404403760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34777 (or 34768 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

Adding to 12248404403760 its reverse (6730440484221), we get a palindrome (18978844887981).

The spelling of 12248404403760 in words is "twelve trillion, two hundred forty-eight billion, four hundred four million, four hundred three thousand, seven hundred sixty".