2125200 has 240 divisors, whose sum is σ = 8856576. Its totient is φ = 422400.

The previous prime is 2125181. The next prime is 2125219. The reversal of 2125200 is 25212.

It is an interprime number because it is at equal distance from previous prime (2125181) and next prime (2125219).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 92389 + ... + 92411.

2^2125200 is an apocalyptic number.

2125200 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 2125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428288).

2125200 is an abundant number, since it is smaller than the sum of its proper divisors (6731376).

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

2125200 is a wasteful number, since it uses less digits than its factorization.

2125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2125200 is about 1457.8065715314. The cubic root of 2125200 is about 128.5681127893.

Adding to 2125200 its sum of digits (12), we get a palindrome (2125212).

The spelling of 2125200 in words is "two million, one hundred twenty-five thousand, two hundred".