126012656 has 80 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 47389440.

The previous prime is 126012643. The next prime is 126012683. The reversal of 126012656 is 656210621.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33965 + ... + 37491.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2^126012656 is an apocalyptic number.

126012656 is a gapful number since it is divisible by the number (16) 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 126012656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

126012656 is an abundant number, since it is smaller than the sum of its proper divisors (188967184).

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

126012656 is a wasteful number, since it uses less digits than its factorization.

126012656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 126012656 is about 11225.5358892126. The cubic root of 126012656 is about 501.3465781987.

The spelling of 126012656 in words is "one hundred twenty-six million, twelve thousand, six hundred fifty-six".