20141200 has 60 divisors (see below), whose sum is σ = 49556848. Its totient is φ = 7862400.

The previous prime is 20141171. The next prime is 20141201. The reversal of 20141200 is 214102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20141201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16615 + ... + 17785.

Almost surely, 2^20141200 is an apocalyptic number.

20141200 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 20141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24778424).

20141200 is an abundant number, since it is smaller than the sum of its proper divisors (29415648).

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

20141200 is a wasteful number, since it uses less digits than its factorization.

20141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20141200 is about 4487.8948294273. The cubic root of 20141200 is about 272.0790571812.

Adding to 20141200 its reverse (214102), we get a palindrome (20355302).

The spelling of 20141200 in words is "twenty million, one hundred forty-one thousand, two hundred".