1012333200 has 120 divisors (see below), whose sum is σ = 3256729056. Its totient is φ = 268800000.

The previous prime is 1012333193. The next prime is 1012333261. The reversal of 1012333200 is 23332101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012333200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299520 + ... + 302880.

Almost surely, 2^1012333200 is an apocalyptic number.

1012333200 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 1012333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628364528).

1012333200 is an abundant number, since it is smaller than the sum of its proper divisors (2244395856).

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

1012333200 is a wasteful number, since it uses less digits than its factorization.

1012333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1012333200 is about 31817.1840363034. The cubic root of 1012333200 is about 1004.0942806549.

Adding to 1012333200 its reverse (23332101), we get a palindrome (1035665301).

The spelling of 1012333200 in words is "one billion, twelve million, three hundred thirty-three thousand, two hundred".