126107712 has 224 divisors, whose sum is σ = 409651200. Its totient is φ = 37863936.

The previous prime is 126107699. The next prime is 126107713. The reversal of 126107712 is 217701621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (126107713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755053 + ... + 755219.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^126107712 is an apocalyptic number.

126107712 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 126107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

126107712 is an abundant number, since it is smaller than the sum of its proper divisors (283543488).

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

126107712 is a wasteful number, since it uses less digits than its factorization.

126107712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 126107712 is about 11229.7690092005. The cubic root of 126107712 is about 501.4726079272.

The spelling of 126107712 in words is "one hundred twenty-six million, one hundred seven thousand, seven hundred twelve".