126968112 has 60 divisors (see below), whose sum is σ = 359363160. Its totient is φ = 41842944.

The previous prime is 126968077. The next prime is 126968113. The reversal of 126968112 is 211869621.

It is a super-2 number, since 2×126968112² = 32241802929689088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (126968113) 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 11 ways as a sum of consecutive naturals, for example, 7863 + ... + 17769.

It is an arithmetic number, because the mean of its divisors is an integer number (5989386).

Almost surely, 2^126968112 is an apocalyptic number.

126968112 is a gapful number since it is divisible by the number (12) 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 126968112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179681580).

126968112 is an abundant number, since it is smaller than the sum of its proper divisors (232395048).

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

126968112 is a wasteful number, since it uses less digits than its factorization.

126968112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010 (or 10001 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 126968112 is about 11268.0127795455. The cubic root of 126968112 is about 502.6104962325.

The spelling of 126968112 in words is "one hundred twenty-six million, nine hundred sixty-eight thousand, one hundred twelve".