201200820 has 48 divisors (see below), whose sum is σ = 578594688. Its totient is φ = 52202880.

The previous prime is 201200801. The next prime is 201200821. The reversal of 201200820 is 28002102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201200820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43096 + ... + 47535.

It is an arithmetic number, because the mean of its divisors is an integer number (12054056).

Almost surely, 2^201200820 is an apocalyptic number.

201200820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200820 is an abundant number, since it is smaller than the sum of its proper divisors (377393868).

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

201200820 is a wasteful number, since it uses less digits than its factorization.

201200820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90680 (or 90678 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 201200820 is about 14184.5274859616. The cubic root of 201200820 is about 585.9716193394.

Adding to 201200820 its reverse (28002102), we get a palindrome (229202922).

The spelling of 201200820 in words is "two hundred one million, two hundred thousand, eight hundred twenty".