4412213000 has 128 divisors (see below), whose sum is σ = 11420529120. Its totient is φ = 1584921600.

The previous prime is 4412212999. The next prime is 4412213023. The reversal of 4412213000 is 3122144.

It can be written as a sum of positive squares in 16 ways, for example, as 984578884 + 3427634116 = 31378^2 + 58546^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4412213000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476414 + ... + 485586.

Almost surely, 2^4412213000 is an apocalyptic number.

4412213000 is a gapful number since it is divisible by the number (40) 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 4412213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710264560).

4412213000 is an abundant number, since it is smaller than the sum of its proper divisors (7008316120).

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

4412213000 is a wasteful number, since it uses less digits than its factorization.

4412213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4412213000 is about 66424.4909653059. The cubic root of 4412213000 is about 1640.1572573772.

Adding to 4412213000 its reverse (3122144), we get a palindrome (4415335144).

The spelling of 4412213000 in words is "four billion, four hundred twelve million, two hundred thirteen thousand".