1144127200 has 72 divisors (see below), whose sum is σ = 2957435712. Its totient is φ = 430725120.

The previous prime is 1144127197. The next prime is 1144127207. The reversal of 1144127200 is 27214411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144127207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28464 + ... + 55663.

It is an arithmetic number, because the mean of its divisors is an integer number (41075496).

Almost surely, 2^1144127200 is an apocalyptic number.

1144127200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144127200 is an abundant number, since it is smaller than the sum of its proper divisors (1813308512).

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

1144127200 is a wasteful number, since it uses less digits than its factorization.

1144127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84164 (or 84151 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1144127200 is about 33824.9493717286. The cubic root of 1144127200 is about 1045.9030677176.

The spelling of 1144127200 in words is "one billion, one hundred forty-four million, one hundred twenty-seven thousand, two hundred".