1024001200 has 120 divisors (see below), whose sum is σ = 2629603520. Its totient is φ = 382060800.

The previous prime is 1024001179. The next prime is 1024001203. The reversal of 1024001200 is 21004201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1024001203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508195 + ... + 510205.

Almost surely, 2^1024001200 is an apocalyptic number.

1024001200 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 1024001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314801760).

1024001200 is an abundant number, since it is smaller than the sum of its proper divisors (1605602320).

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

1024001200 is a wasteful number, since it uses less digits than its factorization.

1024001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1024001200 is about 32000.0187499945. The cubic root of 1024001200 is about 1007.9372336411.

Adding to 1024001200 its reverse (21004201), we get a palindrome (1045005401).

It can be divided in two parts, 1024001 and 200, that added together give a palindrome (1024201).

The spelling of 1024001200 in words is "one billion, twenty-four million, one thousand, two hundred".