2212133000 has 128 divisors (see below), whose sum is σ = 6453907200. Its totient is φ = 689472000.

The previous prime is 2212132991. The next prime is 2212133009. The reversal of 2212133000 is 3312122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2212132991) and next prime (2212133009).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2212133009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62636 + ... + 91364.

It is an arithmetic number, because the mean of its divisors is an integer number (50421150).

Almost surely, 2^2212133000 is an apocalyptic number.

2212133000 is a gapful number since it is divisible by the number (20) 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 2212133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226953600).

2212133000 is an abundant number, since it is smaller than the sum of its proper divisors (4241774200).

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

2212133000 is a wasteful number, since it uses less digits than its factorization.

2212133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28768 (or 28754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2212133000 is about 47033.3179777910. The cubic root of 2212133000 is about 1302.9779855696.

Adding to 2212133000 its reverse (3312122), we get a palindrome (2215445122).

The spelling of 2212133000 in words is "two billion, two hundred twelve million, one hundred thirty-three thousand".