126228256 has 48 divisors (see below), whose sum is σ = 309839040. Its totient is φ = 49178880.

The previous prime is 126228241. The next prime is 126228257. The reversal of 126228256 is 652822621.

It is a super-2 number, since 2×126228256² = 31867145225603072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126228257) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23151 + ... + 28078.

It is an arithmetic number, because the mean of its divisors is an integer number (6454980).

Almost surely, 2^126228256 is an apocalyptic number.

126228256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126228256 is an abundant number, since it is smaller than the sum of its proper divisors (183610784).

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

126228256 is a wasteful number, since it uses less digits than its factorization.

126228256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51257 (or 51249 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 126228256 is about 11235.1348901560. The cubic root of 126228256 is about 501.6323398010.

The spelling of 126228256 in words is "one hundred twenty-six million, two hundred twenty-eight thousand, two hundred fifty-six".