12049431360 has 448 divisors, whose sum is σ = 43231076352. Its totient is φ = 2826993664.

The previous prime is 12049431347. The next prime is 12049431367. The reversal of 12049431360 is 6313494021.

12049431360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12049431367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17641579 + ... + 17642261.

Almost surely, 2^12049431360 is an apocalyptic number.

12049431360 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 12049431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21615538176).

12049431360 is an abundant number, since it is smaller than the sum of its proper divisors (31181644992).

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

12049431360 is a wasteful number, since it uses less digits than its factorization.

12049431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 12049431360 in words is "twelve billion, forty-nine million, four hundred thirty-one thousand, three hundred sixty".