20031200 has 144 divisors (see below), whose sum is σ = 57808800. Its totient is φ = 6773760.

The previous prime is 20031173. The next prime is 20031217. The reversal of 20031200 is 213002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274364 + ... + 274436.

It is an arithmetic number, because the mean of its divisors is an integer number (401450).

Almost surely, 2^20031200 is an apocalyptic number.

20031200 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 20031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28904400).

20031200 is an abundant number, since it is smaller than the sum of its proper divisors (37777600).

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

20031200 is an equidigital number, since it uses as much as digits as its factorization.

20031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 20031200 is about 4475.6228616808. The cubic root of 20031200 is about 271.5828380412.

Adding to 20031200 its reverse (213002), we get a palindrome (20244202).

The spelling of 20031200 in words is "twenty million, thirty-one thousand, two hundred".