1233142304 has 48 divisors (see below), whose sum is σ = 2564432640. Its totient is φ = 582785280.

The previous prime is 1233142297. The next prime is 1233142307. The reversal of 1233142304 is 4032413321.

It is a self number, because there is not a number n which added to its sum of digits gives 1233142304.

It is not an unprimeable number, because it can be changed into a prime (1233142307) 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 7 ways as a sum of consecutive naturals, for example, 28202 + ... + 57110.

It is an arithmetic number, because the mean of its divisors is an integer number (53425680).

Almost surely, 2^1233142304 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 1233142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282216320).

1233142304 is an abundant number, since it is smaller than the sum of its proper divisors (1331290336).

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

1233142304 is a wasteful number, since it uses less digits than its factorization.

1233142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28993 (or 28985 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1233142304 is about 35116.1259822322. The cubic root of 1233142304 is about 1072.3529041567.

Adding to 1233142304 its reverse (4032413321), we get a palindrome (5265555625).

The spelling of 1233142304 in words is "one billion, two hundred thirty-three million, one hundred forty-two thousand, three hundred four".