126112644 has 72 divisors (see below), whose sum is σ = 368484480. Its totient is φ = 35620992.

The previous prime is 126112627. The next prime is 126112669. The reversal of 126112644 is 446211621.

126112644 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 12 + 644 = 666.

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

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, 19617 + ... + 25239.

It is an arithmetic number, because the mean of its divisors is an integer number (5117840).

Almost surely, 2^126112644 is an apocalyptic number.

126112644 is a gapful number since it is divisible by the number (14) 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 126112644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184242240).

126112644 is an abundant number, since it is smaller than the sum of its proper divisors (242371836).

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

126112644 is a wasteful number, since it uses less digits than its factorization.

126112644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5724 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 126112644 is about 11229.9886019533. The cubic root of 126112644 is about 501.4791452769.

It can be divided in two parts, 126112 and 644, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 126112644 in words is "one hundred twenty-six million, one hundred twelve thousand, six hundred forty-four".