2120212220 has 96 divisors (see below), whose sum is σ = 5357657088. Its totient is φ = 689052672.

The previous prime is 2120212187. The next prime is 2120212229. The reversal of 2120212220 is 222120212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2120212195 and 2120212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120212229) 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, 360947 + ... + 366773.

It is an arithmetic number, because the mean of its divisors is an integer number (55808928).

Almost surely, 2^2120212220 is an apocalyptic number.

2120212220 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 2120212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678828544).

2120212220 is an abundant number, since it is smaller than the sum of its proper divisors (3237444868).

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

2120212220 is a wasteful number, since it uses less digits than its factorization.

2120212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5979 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2120212220 is about 46045.7622371484. The cubic root of 2120212220 is about 1284.6745217744.

Adding to 2120212220 its reverse (222120212), we get a palindrome (2342332432).

The spelling of 2120212220 in words is "two billion, one hundred twenty million, two hundred twelve thousand, two hundred twenty".