126176112 has 120 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 39381120.

The previous prime is 126176081. The next prime is 126176119. The reversal of 126176112 is 211671621.

It is a happy number.

It is a super-2 number, since 2×126176112² = 31840822478873088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126176119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292537 + ... + 292967.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^126176112 is an apocalyptic number.

126176112 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 126176112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

126176112 is an abundant number, since it is smaller than the sum of its proper divisors (249871248).

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

126176112 is a wasteful number, since it uses less digits than its factorization.

126176112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 126176112 is about 11232.8140730629. The cubic root of 126176112 is about 501.5632566967.

The spelling of 126176112 in words is "one hundred twenty-six million, one hundred seventy-six thousand, one hundred twelve".