126225561 has 32 divisors (see below), whose sum is σ = 222179328. Its totient is φ = 61712640.

The previous prime is 126225559. The next prime is 126225623. The reversal of 126225561 is 165522621.

It is not a de Polignac number, because 126225561 - 2¹ = 126225559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126225461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12145 + ... + 19998.

It is an arithmetic number, because the mean of its divisors is an integer number (6943104).

Almost surely, 2^126225561 is an apocalyptic number.

126225561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126225561 is a deficient number, since it is larger than the sum of its proper divisors (95953767).

126225561 is a wasteful number, since it uses less digits than its factorization.

126225561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32181.

The product of its digits is 7200, while the sum is 30.

The square root of 126225561 is about 11235.0149532611. The cubic root of 126225561 is about 501.6287697900.

It can be divided in two parts, 126225 and 561, that multiplied together give a square (70812225 = 8415²).

The spelling of 126225561 in words is "one hundred twenty-six million, two hundred twenty-five thousand, five hundred sixty-one".