1281244800 has 288 divisors, whose sum is σ = 4642827840. Its totient is φ = 310323200.

The previous prime is 1281244799. The next prime is 1281244807. The reversal of 1281244800 is 84421821.

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

It is not an unprimeable number, because it can be changed into a prime (1281244807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1161049 + ... + 1162151.

It is an arithmetic number, because the mean of its divisors is an integer number (16120930).

Almost surely, 2^1281244800 is an apocalyptic number.

1281244800 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 1281244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321413920).

1281244800 is an abundant number, since it is smaller than the sum of its proper divisors (3361583040).

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

1281244800 is a wasteful number, since it uses less digits than its factorization.

1281244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 1281244800 is about 35794.4800213664. The cubic root of 1281244800 is about 1086.1189020871.

The spelling of 1281244800 in words is "one billion, two hundred eighty-one million, two hundred forty-four thousand, eight hundred".