1008801200 has 180 divisors, whose sum is σ = 2806773480. Its totient is φ = 347212800.

The previous prime is 1008801193. The next prime is 1008801203. The reversal of 1008801200 is 21088001.

It is a super-2 number, since 2×1008801200² = 2035359722242880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1008801203) 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, 919052 + ... + 920148.

It is an arithmetic number, because the mean of its divisors is an integer number (15593186).

Almost surely, 2^1008801200 is an apocalyptic number.

1008801200 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 1008801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403386740).

1008801200 is an abundant number, since it is smaller than the sum of its proper divisors (1797972280).

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

1008801200 is a wasteful number, since it uses less digits than its factorization.

1008801200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1008801200 is about 31761.6309404917. The cubic root of 1008801200 is about 1002.9251683801.

Adding to 1008801200 its reverse (21088001), we get a palindrome (1029889201).

It can be divided in two parts, 1008801 and 200, that added together give a palindrome (1009001).

The spelling of 1008801200 in words is "one billion, eight million, eight hundred one thousand, two hundred".