2012200000 has 84 divisors (see below), whose sum is σ = 4991375844. Its totient is φ = 804800000.

The previous prime is 2012199989. The next prime is 2012200037. The reversal of 2012200000 is 22102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1604483136 + 407716864 = 40056^2 + 20192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194970 + ... + 205030.

It is an arithmetic number, because the mean of its divisors is an integer number (59421141).

Almost surely, 2^2012200000 is an apocalyptic number.

2012200000 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 2012200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495687922).

2012200000 is an abundant number, since it is smaller than the sum of its proper divisors (2979175844).

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

2012200000 is an frugal number, since it uses more digits than its factorization.

2012200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10098 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2012200000 is about 44857.5523184224. The cubic root of 2012200000 is about 1262.4776978709.

Adding to 2012200000 its reverse (22102), we get a palindrome (2012222102).

The spelling of 2012200000 in words is "two billion, twelve million, two hundred thousand".