2120221200 has 120 divisors (see below), whose sum is σ = 6837338176. Its totient is φ = 561600000.

The previous prime is 2120221199. The next prime is 2120221261. The reversal of 2120221200 is 21220212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2120221200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 175350 + ... + 187050.

Almost surely, 2^2120221200 is an apocalyptic number.

2120221200 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 2120221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418669088).

2120221200 is an abundant number, since it is smaller than the sum of its proper divisors (4717116976).

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

2120221200 is a wasteful number, since it uses less digits than its factorization.

2120221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11873 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2120221200 is about 46045.8597487331. The cubic root of 2120221200 is about 1284.6763354861.

Adding to 2120221200 its reverse (21220212), we get a palindrome (2141441412).

The spelling of 2120221200 in words is "two billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".