1281312144 has 120 divisors (see below), whose sum is σ = 4130846720. Its totient is φ = 363170304.

The previous prime is 1281312143. The next prime is 1281312157. The reversal of 1281312144 is 4412131821.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1281312143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123012 + ... + 133020.

Almost surely, 2^1281312144 is an apocalyptic number.

1281312144 is a gapful number since it is divisible by the number (14) 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 1281312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065423360).

1281312144 is an abundant number, since it is smaller than the sum of its proper divisors (2849534576).

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

1281312144 is a wasteful number, since it uses less digits than its factorization.

1281312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10157 (or 10148 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1281312144 is about 35795.4207127113. The cubic root of 1281312144 is about 1086.1379310579.

Adding to 1281312144 its reverse (4412131821), we get a palindrome (5693443965).

The spelling of 1281312144 in words is "one billion, two hundred eighty-one million, three hundred twelve thousand, one hundred forty-four".