20001200 has 60 divisors (see below), whose sum is σ = 49633728. Its totient is φ = 7737600.

The previous prime is 20001181. The next prime is 20001203. The reversal of 20001200 is 210002.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (20001203) 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, 11594 + ... + 13206.

Almost surely, 2^20001200 is an apocalyptic number.

20001200 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 20001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24816864).

20001200 is an abundant number, since it is smaller than the sum of its proper divisors (29632528).

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

20001200 is a wasteful number, since it uses less digits than its factorization.

20001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 20001200 is about 4472.2701170658. The cubic root of 20001200 is about 271.4471903862.

Adding to 20001200 its reverse (210002), we get a palindrome (20211202).

The spelling of 20001200 in words is "twenty million, one thousand, two hundred".