1281184320 has 224 divisors, whose sum is σ = 4408871040. Its totient is φ = 313344000.

The previous prime is 1281184313. The next prime is 1281184339. The reversal of 1281184320 is 234811821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3132276 + ... + 3132684.

It is an arithmetic number, because the mean of its divisors is an integer number (19682460).

Almost surely, 2^1281184320 is an apocalyptic number.

1281184320 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 1281184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204435520).

1281184320 is an abundant number, since it is smaller than the sum of its proper divisors (3127686720).

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

1281184320 is a wasteful number, since it uses less digits than its factorization.

1281184320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1281184320 is about 35793.6351883963. The cubic root of 1281184320 is about 1086.1018120652.

The spelling of 1281184320 in words is "one billion, two hundred eighty-one million, one hundred eighty-four thousand, three hundred twenty".