1012083200 has 120 divisors (see below), whose sum is σ = 2576490972. Its totient is φ = 393707520.

The previous prime is 1012083199. The next prime is 1012083239. The reversal of 1012083200 is 23802101.

It can be written as a sum of positive squares in 6 ways, for example, as 309197056 + 702886144 = 17584^2 + 26512^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 472532 + ... + 474668.

Almost surely, 2^1012083200 is an apocalyptic number.

1012083200 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 1012083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288245486).

1012083200 is an abundant number, since it is smaller than the sum of its proper divisors (1564407772).

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

1012083200 is an equidigital number, since it uses as much as digits as its factorization.

1012083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1012083200 is about 31813.2550990935. The cubic root of 1012083200 is about 1004.0116187287.

Adding to 1012083200 its reverse (23802101), we get a palindrome (1035885301).

The spelling of 1012083200 in words is "one billion, twelve million, eighty-three thousand, two hundred".