1000233312 has 48 divisors (see below), whose sum is σ = 2827586160. Its totient is φ = 307763712.

The previous prime is 1000233293. The next prime is 1000233317. The reversal of 1000233312 is 2133320001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1000233291 and 1000233300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000233317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399487 + ... + 401982.

It is an arithmetic number, because the mean of its divisors is an integer number (58908045).

Almost surely, 2^1000233312 is an apocalyptic number.

1000233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000233312 is an abundant number, since it is smaller than the sum of its proper divisors (1827352848).

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

1000233312 is a wasteful number, since it uses less digits than its factorization.

1000233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801495 (or 801487 counting only the distinct ones).

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

The square root of 1000233312 is about 31626.4653731649. The cubic root of 1000233312 is about 1000.0777646192.

Adding to 1000233312 its reverse (2133320001), we get a palindrome (3133553313).

The spelling of 1000233312 in words is "one billion, two hundred thirty-three thousand, three hundred twelve".