2117122200 has 288 divisors, whose sum is σ = 7708100400. Its totient is φ = 518676480.

The previous prime is 2117122199. The next prime is 2117122211. The reversal of 2117122200 is 22217112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1314996 + ... + 1316604.

Almost surely, 2^2117122200 is an apocalyptic number.

2117122200 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 2117122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854050200).

2117122200 is an abundant number, since it is smaller than the sum of its proper divisors (5590978200).

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

2117122200 is a wasteful number, since it uses less digits than its factorization.

2117122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2117122200 is about 46012.1962092661. The cubic root of 2117122200 is about 1284.0501188694.

Adding to 2117122200 its reverse (22217112), we get a palindrome (2139339312).

The spelling of 2117122200 in words is "two billion, one hundred seventeen million, one hundred twenty-two thousand, two hundred".