1001233200 has 240 divisors, whose sum is σ = 3538202112. Its totient is φ = 240000000.

The previous prime is 1001233183. The next prime is 1001233201. The reversal of 1001233200 is 23321001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1001233201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1332825 + ... + 1333575.

Almost surely, 2^1001233200 is an apocalyptic number.

1001233200 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 1001233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769101056).

1001233200 is an abundant number, since it is smaller than the sum of its proper divisors (2536968912).

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

1001233200 is a wasteful number, since it uses less digits than its factorization.

1001233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1001233200 is about 31642.2691980205. The cubic root of 1001233200 is about 1000.4108978065.

Adding to 1001233200 its reverse (23321001), we get a palindrome (1024554201).

The spelling of 1001233200 in words is "one billion, one million, two hundred thirty-three thousand, two hundred".