1288020200 has 48 divisors (see below), whose sum is σ = 3003156000. Its totient is φ = 513744320.

The previous prime is 1288020199. The next prime is 1288020211. The reversal of 1288020200 is 20208821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62831 + ... + 80769.

It is an arithmetic number, because the mean of its divisors is an integer number (62565750).

Almost surely, 2^1288020200 is an apocalyptic number.

1288020200 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 1288020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501578000).

1288020200 is an abundant number, since it is smaller than the sum of its proper divisors (1715135800).

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

1288020200 is a wasteful number, since it uses less digits than its factorization.

1288020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18314 (or 18305 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 1288020200 is about 35888.9983142467. The cubic root of 1288020200 is about 1088.0300529653.

The spelling of 1288020200 in words is "one billion, two hundred eighty-eight million, twenty thousand, two hundred".