126803712 has 144 divisors (see below), whose sum is σ = 391139840. Its totient is φ = 35721216.

The previous prime is 126803707. The next prime is 126803717. The reversal of 126803712 is 217308621.

It is an interprime number because it is at equal distance from previous prime (126803707) and next prime (126803717).

It is a self number, because there is not a number n which added to its sum of digits gives 126803712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126803717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553614 + ... + 553842.

Almost surely, 2^126803712 is an apocalyptic number.

126803712 is a gapful number since it is divisible by the number (12) 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 126803712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195569920).

126803712 is an abundant number, since it is smaller than the sum of its proper divisors (264336128).

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

126803712 is a wasteful number, since it uses less digits than its factorization.

126803712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 126803712 is about 11260.7154302025. The cubic root of 126803712 is about 502.3934736194.

The spelling of 126803712 in words is "one hundred twenty-six million, eight hundred three thousand, seven hundred twelve".