2122420200 has 96 divisors (see below), whose sum is σ = 6621704160. Its totient is φ = 562348800.

The previous prime is 2122420193. The next prime is 2122420217. The reversal of 2122420200 is 20242212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122420200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82935 + ... + 105465.

It is an arithmetic number, because the mean of its divisors is an integer number (68976085).

Almost surely, 2^2122420200 is an apocalyptic number.

2122420200 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 2122420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310852080).

2122420200 is an abundant number, since it is smaller than the sum of its proper divisors (4499283960).

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

2122420200 is a wasteful number, since it uses less digits than its factorization.

2122420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22707 (or 22698 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2122420200 is about 46069.7319288923. The cubic root of 2122420200 is about 1285.1203185900.

Adding to 2122420200 its reverse (20242212), we get a palindrome (2142662412).

The spelling of 2122420200 in words is "two billion, one hundred twenty-two million, four hundred twenty thousand, two hundred".