1142256000 has 256 divisors, whose sum is σ = 3866616000. Its totient is φ = 298188800.

The previous prime is 1142255929. The next prime is 1142256007. The reversal of 1142256000 is 6522411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142256007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543776 + ... + 2544224.

Almost surely, 2^1142256000 is an apocalyptic number.

1142256000 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 1142256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933308000).

1142256000 is an abundant number, since it is smaller than the sum of its proper divisors (2724360000).

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

1142256000 is an equidigital number, since it uses as much as digits as its factorization.

1142256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1142256000 is about 33797.2779969038. The cubic root of 1142256000 is about 1045.3325712082.

Adding to 1142256000 its reverse (6522411), we get a palindrome (1148778411).

The spelling of 1142256000 in words is "one billion, one hundred forty-two million, two hundred fifty-six thousand".