126622144 has 84 divisors (see below), whose sum is σ = 280931112. Its totient is φ = 56573440.

The previous prime is 126622129. The next prime is 126622147. The reversal of 126622144 is 441226621.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126622147) 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, 642654 + ... + 642850.

It is an arithmetic number, because the mean of its divisors is an integer number (3344418).

Almost surely, 2^126622144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140465556).

126622144 is an abundant number, since it is smaller than the sum of its proper divisors (154308968).

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

126622144 is a wasteful number, since it uses less digits than its factorization.

126622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 126622144 is about 11252.6505322080. The cubic root of 126622144 is about 502.1535696251.

Adding to 126622144 its reverse (441226621), we get a palindrome (567848765).

The spelling of 126622144 in words is "one hundred twenty-six million, six hundred twenty-two thousand, one hundred forty-four".