3112213000 has 128 divisors (see below), whose sum is σ = 7992522720. Its totient is φ = 1127193600.

The previous prime is 3112212949. The next prime is 3112213009. The reversal of 3112213000 is 3122113.

It can be written as a sum of positive squares in 16 ways, for example, as 1154504484 + 1957708516 = 33978^2 + 44246^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (3112213009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 686742 + ... + 691258.

Almost surely, 2^3112213000 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 3112213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996261360).

3112213000 is an abundant number, since it is smaller than the sum of its proper divisors (4880309720).

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

3112213000 is a wasteful number, since it uses less digits than its factorization.

3112213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3112213000 is about 55787.2117962531. The cubic root of 3112213000 is about 1460.0120409340.

Adding to 3112213000 its reverse (3122113), we get a palindrome (3115335113).

The spelling of 3112213000 in words is "three billion, one hundred twelve million, two hundred thirteen thousand".