126225288 has 96 divisors (see below), whose sum is σ = 407721600. Its totient is φ = 34493184.

The previous prime is 126225269. The next prime is 126225301. The reversal of 126225288 is 882522621.

126225288 is a `hidden beast` number, since 1 + 2 + 622 + 5 + 28 + 8 = 666.

It is a super-3 number, since 3×126225288³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 6148 + ... + 17036.

It is an arithmetic number, because the mean of its divisors is an integer number (4247100).

Almost surely, 2^126225288 is an apocalyptic number.

126225288 is a gapful number since it is divisible by the number (18) 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 126225288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203860800).

126225288 is an abundant number, since it is smaller than the sum of its proper divisors (281496312).

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

126225288 is a wasteful number, since it uses less digits than its factorization.

126225288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10931 (or 10924 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 126225288 is about 11235.0028037380. The cubic root of 126225288 is about 501.6284081497.

The spelling of 126225288 in words is "one hundred twenty-six million, two hundred twenty-five thousand, two hundred eighty-eight".