2120020200 has 144 divisors (see below), whose sum is σ = 7172537580. Its totient is φ = 561146880.

The previous prime is 2120020187. The next prime is 2120020213. The reversal of 2120020200 is 20200212.

It is an interprime number because it is at equal distance from previous prime (2120020187) and next prime (2120020213).

It can be written as a sum of positive squares in 6 ways, for example, as 1082278404 + 1037741796 = 32898^2 + 32214^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242302 + ... + 250898.

Almost surely, 2^2120020200 is an apocalyptic number.

2120020200 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 2120020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586268790).

2120020200 is an abundant number, since it is smaller than the sum of its proper divisors (5052517380).

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

2120020200 is a wasteful number, since it uses less digits than its factorization.

2120020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8756 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2120020200 is about 46043.6770903454. The cubic root of 2120020200 is about 1284.6357378189.

Adding to 2120020200 its reverse (20200212), we get a palindrome (2140220412).

The spelling of 2120020200 in words is "two billion, one hundred twenty million, twenty thousand, two hundred".