126044512 has 48 divisors (see below), whose sum is σ = 279465984. Its totient is φ = 55440000.

The previous prime is 126044509. The next prime is 126044519. The reversal of 126044512 is 215440621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126044519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5137 + ... + 16687.

It is an arithmetic number, because the mean of its divisors is an integer number (5822208).

Almost surely, 2^126044512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126044512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139732992).

126044512 is an abundant number, since it is smaller than the sum of its proper divisors (153421472).

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

126044512 is a wasteful number, since it uses less digits than its factorization.

126044512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11603 (or 11595 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 126044512 is about 11226.9547073104. The cubic root of 126044512 is about 501.3888214449.

The spelling of 126044512 in words is "one hundred twenty-six million, forty-four thousand, five hundred twelve".