3213112000 has 224 divisors, whose sum is σ = 9173114496. Its totient is φ = 1092096000.

The previous prime is 3213111989. The next prime is 3213112037. The reversal of 3213112000 is 2113123.

It is a tau number, because it is divible by the number of its divisors (224).

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, 10135842 + ... + 10136158.

It is an arithmetic number, because the mean of its divisors is an integer number (40951404).

Almost surely, 2^3213112000 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 3213112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586557248).

3213112000 is an abundant number, since it is smaller than the sum of its proper divisors (5960002496).

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

3213112000 is a wasteful number, since it uses less digits than its factorization.

3213112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 512 counting only the distinct ones).

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

The square root of 3213112000 is about 56684.3188192290. The cubic root of 3213112000 is about 1475.6225658804.

Adding to 3213112000 its reverse (2113123), we get a palindrome (3215225123).

The spelling of 3213112000 in words is "three billion, two hundred thirteen million, one hundred twelve thousand".