2114123200 has 336 divisors, whose sum is σ = 6440302080. Its totient is φ = 667054080.

The previous prime is 2114123197. The next prime is 2114123237. The reversal of 2114123200 is 23214112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7470259 + ... + 7470541.

Almost surely, 2^2114123200 is an apocalyptic number.

2114123200 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 2114123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220151040).

2114123200 is an abundant number, since it is smaller than the sum of its proper divisors (4326178880).

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

2114123200 is a wasteful number, since it uses less digits than its factorization.

2114123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2114123200 is about 45979.5954745146. The cubic root of 2114123200 is about 1283.4435272032.

Adding to 2114123200 its reverse (23214112), we get a palindrome (2137337312).

The spelling of 2114123200 in words is "two billion, one hundred fourteen million, one hundred twenty-three thousand, two hundred".