12449234560 has 128 divisors (see below), whose sum is σ = 34396358400. Its totient is φ = 4220215296.

The previous prime is 12449234543. The next prime is 12449234573. The reversal of 12449234560 is 6543294421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12449234560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 383109 + ... + 414331.

It is an arithmetic number, because the mean of its divisors is an integer number (268721550).

Almost surely, 2^12449234560 is an apocalyptic number.

12449234560 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 12449234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17198179200).

12449234560 is an abundant number, since it is smaller than the sum of its proper divisors (21947123840).

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

12449234560 is an equidigital number, since it uses as much as digits as its factorization.

12449234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31338 (or 31326 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

It can be divided in two parts, 12449 and 234560, that added together give a square (247009 = 497²).

The spelling of 12449234560 in words is "twelve billion, four hundred forty-nine million, two hundred thirty-four thousand, five hundred sixty".