126512512 has 96 divisors (see below), whose sum is σ = 306281520. Its totient is φ = 51803136.

The previous prime is 126512483. The next prime is 126512527. The reversal of 126512512 is 215215621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143818 + ... + 144694.

Almost surely, 2^126512512 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 126512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153140760).

126512512 is an abundant number, since it is smaller than the sum of its proper divisors (179769008).

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

126512512 is an equidigital number, since it uses as much as digits as its factorization.

126512512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 909 counting only the distinct ones).

The product of its digits is 1200, while the sum is 25.

The square root of 126512512 is about 11247.7780916944. The cubic root of 126512512 is about 502.0086028906.

The spelling of 126512512 in words is "one hundred twenty-six million, five hundred twelve thousand, five hundred twelve".