1144312000 has 112 divisors (see below), whose sum is σ = 3052157472. Its totient is φ = 422476800.

The previous prime is 1144311947. The next prime is 1144312027. The reversal of 1144312000 is 2134411.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98499 + ... + 109501.

It is an arithmetic number, because the mean of its divisors is an integer number (27251406).

Almost surely, 2^1144312000 is an apocalyptic number.

1144312000 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 1144312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526078736).

1144312000 is an abundant number, since it is smaller than the sum of its proper divisors (1907845472).

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

1144312000 is a wasteful number, since it uses less digits than its factorization.

1144312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11043 (or 11023 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1144312000 is about 33827.6809728364. The cubic root of 1144312000 is about 1045.9593762823.

Adding to 1144312000 its reverse (2134411), we get a palindrome (1146446411).

The spelling of 1144312000 in words is "one billion, one hundred forty-four million, three hundred twelve thousand".