1142263200 has 288 divisors, whose sum is σ = 4136735232. Its totient is φ = 271872000.

The previous prime is 1142263183. The next prime is 1142263217. The reversal of 1142263200 is 23622411.

It is an interprime number because it is at equal distance from previous prime (1142263183) and next prime (1142263217).

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 47 ways as a sum of consecutive naturals, for example, 966610 + ... + 967790.

It is an arithmetic number, because the mean of its divisors is an integer number (14363664).

Almost surely, 2^1142263200 is an apocalyptic number.

1142263200 is a gapful number since it is divisible by the number (10) 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 1142263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068367616).

1142263200 is an abundant number, since it is smaller than the sum of its proper divisors (2994472032).

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

1142263200 is a wasteful number, since it uses less digits than its factorization.

1142263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1142263200 is about 33797.3845141899. The cubic root of 1142263200 is about 1045.3347675573.

Adding to 1142263200 its reverse (23622411), we get a palindrome (1165885611).

The spelling of 1142263200 in words is "one billion, one hundred forty-two million, two hundred sixty-three thousand, two hundred".