2120201200 has 120 divisors (see below), whose sum is σ = 5508928656. Its totient is φ = 779520000.

The previous prime is 2120201179. The next prime is 2120201221. The reversal of 2120201200 is 21020212.

It is an interprime number because it is at equal distance from previous prime (2120201179) and next prime (2120201221).

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1460475 + ... + 1461925.

Almost surely, 2^2120201200 is an apocalyptic number.

2120201200 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 2120201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754464328).

2120201200 is an abundant number, since it is smaller than the sum of its proper divisors (3388727456).

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

2120201200 is a wasteful number, since it uses less digits than its factorization.

2120201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2120201200 is about 46045.6425734292. The cubic root of 2120201200 is about 1284.6722960322.

Adding to 2120201200 its reverse (21020212), we get a palindrome (2141221412).

The spelling of 2120201200 in words is "two billion, one hundred twenty million, two hundred one thousand, two hundred".