20231200 has 144 divisors (see below), whose sum is σ = 57183840. Its totient is φ = 6969600.

The previous prime is 20231179. The next prime is 20231203. The reversal of 20231200 is 213202.

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 (20231203) 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, 1064791 + ... + 1064809.

It is an arithmetic number, because the mean of its divisors is an integer number (397110).

Almost surely, 2^20231200 is an apocalyptic number.

20231200 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 20231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591920).

20231200 is an abundant number, since it is smaller than the sum of its proper divisors (36952640).

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

20231200 is a wasteful number, since it uses less digits than its factorization.

20231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20231200 is about 4497.9106260574. The cubic root of 20231200 is about 272.4837125186.

Adding to 20231200 its reverse (213202), we get a palindrome (20444402).

It can be divided in two parts, 2023 and 1200, that added together give a palindrome (3223).

The spelling of 20231200 in words is "twenty million, two hundred thirty-one thousand, two hundred".