12126444540 has 288 divisors, whose sum is σ = 41868187200. Its totient is φ = 2610155520.

The previous prime is 12126444529. The next prime is 12126444541. The reversal of 12126444540 is 4544462121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12126444541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3493926 + ... + 3497394.

It is an arithmetic number, because the mean of its divisors is an integer number (145375650).

Almost surely, 2^12126444540 is an apocalyptic number.

12126444540 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 12126444540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20934093600).

12126444540 is an abundant number, since it is smaller than the sum of its proper divisors (29741742660).

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

12126444540 is a wasteful number, since it uses less digits than its factorization.

12126444540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 12126444540 in words is "twelve billion, one hundred twenty-six million, four hundred forty-four thousand, five hundred forty".