126506120 has 64 divisors (see below), whose sum is σ = 317142000. Its totient is φ = 45093888.

The previous prime is 126506119. The next prime is 126506143. The reversal of 126506120 is 21605621.

It can be written as a sum of positive squares in 8 ways, for example, as 57183844 + 69322276 = 7562^2 + 8326^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10886 + ... + 19274.

Almost surely, 2^126506120 is an apocalyptic number.

126506120 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 126506120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158571000).

126506120 is an abundant number, since it is smaller than the sum of its proper divisors (190635880).

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

126506120 is a wasteful number, since it uses less digits than its factorization.

126506120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8442 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 126506120 is about 11247.4939430968. The cubic root of 126506120 is about 502.0001481458. Note that the first 3 decimals are identical.

The spelling of 126506120 in words is "one hundred twenty-six million, five hundred six thousand, one hundred twenty".