1288224000 has 720 divisors, whose sum is σ = 5555886336. Its totient is φ = 290304000.

The previous prime is 1288223983. The next prime is 1288224013. The reversal of 1288224000 is 4228821.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18143965 + ... + 18144035.

Almost surely, 2^1288224000 is an apocalyptic number.

1288224000 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 1288224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777943168).

1288224000 is an abundant number, since it is smaller than the sum of its proper divisors (4267662336).

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

1288224000 is an frugal number, since it uses more digits than its factorization.

1288224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1288224000 is about 35891.8375121698. The cubic root of 1288224000 is about 1088.0874353031.

The spelling of 1288224000 in words is "one billion, two hundred eighty-eight million, two hundred twenty-four thousand".