126126441 has 18 divisors (see below), whose sum is σ = 211927482. Its totient is φ = 72072000.

The previous prime is 126126437. The next prime is 126126449. The reversal of 126126441 is 144621621.

126126441 is a `hidden beast` number, since 1 + 2 + 6 + 12 + 644 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112466025 + 13660416 = 10605^2 + 3696^2 .

It is not a de Polignac number, because 126126441 - 2² = 126126437 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126126449) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142560 + ... + 143441.

It is an arithmetic number, because the mean of its divisors is an integer number (11773749).

Almost surely, 2^126126441 is an apocalyptic number.

It is an amenable number.

126126441 is a deficient number, since it is larger than the sum of its proper divisors (85801041).

126126441 is a wasteful number, since it uses less digits than its factorization.

126126441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286021 (or 286011 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 126126441 is about 11230.6028778512. The cubic root of 126126441 is about 501.4974322497.

The spelling of 126126441 in words is "one hundred twenty-six million, one hundred twenty-six thousand, four hundred forty-one".