2122124200 has 96 divisors (see below), whose sum is σ = 5649638400. Its totient is φ = 726186240.

The previous prime is 2122124171. The next prime is 2122124201. The reversal of 2122124200 is 24212212.

It is a super-2 number, since 2×2122124200² = 9006822240451280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122124201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 946681 + ... + 948919.

It is an arithmetic number, because the mean of its divisors is an integer number (58850400).

Almost surely, 2^2122124200 is an apocalyptic number.

2122124200 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 2122124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824819200).

2122124200 is an abundant number, since it is smaller than the sum of its proper divisors (3527514200).

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

2122124200 is a wasteful number, since it uses less digits than its factorization.

2122124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2122124200 is about 46066.5192954710. The cubic root of 2122124200 is about 1285.0605733835.

Adding to 2122124200 its reverse (24212212), we get a palindrome (2146336412).

The spelling of 2122124200 in words is "two billion, one hundred twenty-two million, one hundred twenty-four thousand, two hundred".