126030720 has 128 divisors (see below), whose sum is σ = 411778080. Its totient is φ = 32768000.

The previous prime is 126030713. The next prime is 126030797. The reversal of 126030720 is 27030621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77920 + ... + 79520.

Almost surely, 2^126030720 is an apocalyptic number.

126030720 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 126030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205889040).

126030720 is an abundant number, since it is smaller than the sum of its proper divisors (285747360).

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

126030720 is a wasteful number, since it uses less digits than its factorization.

126030720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 126030720 is about 11226.3404544847. The cubic root of 126030720 is about 501.3705331785.

Subtracting from 126030720 its reverse (27030621), we obtain a palindrome (99000099).

The spelling of 126030720 in words is "one hundred twenty-six million, thirty thousand, seven hundred twenty".