4112213200 has 120 divisors (see below), whose sum is σ = 10056765056. Its totient is φ = 1615680000.

The previous prime is 4112213179. The next prime is 4112213213. The reversal of 4112213200 is 23122114.

4112213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6220870 + ... + 6221530.

Almost surely, 2^4112213200 is an apocalyptic number.

4112213200 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 4112213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028382528).

4112213200 is an abundant number, since it is smaller than the sum of its proper divisors (5944551856).

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

4112213200 is a wasteful number, since it uses less digits than its factorization.

4112213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4112213200 is about 64126.5405273043. The cubic root of 4112213200 is about 1602.1083144112.

Adding to 4112213200 its reverse (23122114), we get a palindrome (4135335314).

The spelling of 4112213200 in words is "four billion, one hundred twelve million, two hundred thirteen thousand, two hundred".