1233266144 has 96 divisors (see below), whose sum is σ = 2758250880. Its totient is φ = 537868800.

The previous prime is 1233266113. The next prime is 1233266159. The reversal of 1233266144 is 4416623321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1233266144.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 892334 + ... + 893714.

It is an arithmetic number, because the mean of its divisors is an integer number (28731780).

Almost surely, 2^1233266144 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 1233266144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379125440).

1233266144 is an abundant number, since it is smaller than the sum of its proper divisors (1524984736).

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

1233266144 is a wasteful number, since it uses less digits than its factorization.

1233266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1496 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 1233266144 is about 35117.8892304193. The cubic root of 1233266144 is about 1072.3888004567.

Adding to 1233266144 its reverse (4416623321), we get a palindrome (5649889465).

The spelling of 1233266144 in words is "one billion, two hundred thirty-three million, two hundred sixty-six thousand, one hundred forty-four".