202200012 has 72 divisors (see below), whose sum is σ = 587242656. Its totient is φ = 57464064.

The previous prime is 202200001. The next prime is 202200029. The reversal of 202200012 is 210002202.

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

It is a junction number, because it is equal to n+sod(n) for n = 202199967 and 202200003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47608 + ... + 51680.

It is an arithmetic number, because the mean of its divisors is an integer number (8156148).

Almost surely, 2^202200012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293621328).

202200012 is an abundant number, since it is smaller than the sum of its proper divisors (385042644).

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

202200012 is a wasteful number, since it uses less digits than its factorization.

202200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4282 counting only the distinct ones).

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

The square root of 202200012 is about 14219.7050602324. The cubic root of 202200012 is about 586.9400242677.

Adding to 202200012 its reverse (210002202), we get a palindrome (412202214).

The spelling of 202200012 in words is "two hundred two million, two hundred thousand, twelve".