1032213312 has 84 divisors (see below), whose sum is σ = 3186264900. Its totient is φ = 317601792.

The previous prime is 1032213263. The next prime is 1032213313. The reversal of 1032213312 is 2133122301.

1032213312 is a `hidden beast` number, since 10 + 322 + 1 + 331 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 529736256 + 502477056 = 23016^2 + 22416^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61437 + ... + 76412.

It is an arithmetic number, because the mean of its divisors is an integer number (37931725).

Almost surely, 2^1032213312 is an apocalyptic number.

1032213312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1032213312 is an abundant number, since it is smaller than the sum of its proper divisors (2154051588).

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

1032213312 is a wasteful number, since it uses less digits than its factorization.

1032213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137880 (or 137867 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1032213312 is about 32128.0766931356. The cubic root of 1032213312 is about 1010.6244910922.

Adding to 1032213312 its reverse (2133122301), we get a palindrome (3165335613).

The spelling of 1032213312 in words is "one billion, thirty-two million, two hundred thirteen thousand, three hundred twelve".