202012200 has 288 divisors, whose sum is σ = 746436600. Its totient is φ = 48660480.

The previous prime is 202012189. The next prime is 202012211. The reversal of 202012200 is 2210202.

It is an interprime number because it is at equal distance from previous prime (202012189) and next prime (202012211).

It can be written as a sum of positive squares in 12 ways, for example, as 3709476 + 198302724 = 1926^2 + 14082^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 2082552 + ... + 2082648.

Almost surely, 2^202012200 is an apocalyptic number.

202012200 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 202012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373218300).

202012200 is an abundant number, since it is smaller than the sum of its proper divisors (544424400).

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

202012200 is a wasteful number, since it uses less digits than its factorization.

202012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 202012200 is about 14213.0995915740. The cubic root of 202012200 is about 586.7582429934.

Adding to 202012200 its reverse (2210202), we get a palindrome (204222402).

The spelling of 202012200 in words is "two hundred two million, twelve thousand, two hundred".