1022033312 has 48 divisors (see below), whose sum is σ = 2086900200. Its totient is φ = 492119040.

The previous prime is 1022033303. The next prime is 1022033371. The reversal of 1022033312 is 2133302201.

It can be written as a sum of positive squares in 4 ways, for example, as 680375056 + 341658256 = 26084^2 + 18484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426614 + ... + 429002.

Almost surely, 2^1022033312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043450100).

1022033312 is an abundant number, since it is smaller than the sum of its proper divisors (1064866888).

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

1022033312 is a wasteful number, since it uses less digits than its factorization.

1022033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1022033312 is about 31969.2557310926. The cubic root of 1022033312 is about 1007.2911473032.

Adding to 1022033312 its reverse (2133302201), we get a palindrome (3155335513).

The spelling of 1022033312 in words is "one billion, twenty-two million, thirty-three thousand, three hundred twelve".