2212133420 has 72 divisors (see below), whose sum is σ = 5411493360. Its totient is φ = 757384320.

The previous prime is 2212133419. The next prime is 2212133437. The reversal of 2212133420 is 243312122.

2212133420 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 2212133392 and 2212133401.

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, 1068146 + ... + 1070214.

It is an arithmetic number, because the mean of its divisors is an integer number (75159630).

Almost surely, 2^2212133420 is an apocalyptic number.

2212133420 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 2212133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705746680).

2212133420 is an abundant number, since it is smaller than the sum of its proper divisors (3199359940).

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

2212133420 is a wasteful number, since it uses less digits than its factorization.

2212133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2212133420 is about 47033.3224427108. The cubic root of 2212133420 is about 1302.9780680316.

Adding to 2212133420 its reverse (243312122), we get a palindrome (2455445542).

The spelling of 2212133420 in words is "two billion, two hundred twelve million, one hundred thirty-three thousand, four hundred twenty".