202112201200 has 480 divisors, whose sum is σ = 623060121600. Its totient is φ = 62578252800.

The previous prime is 202112201197. The next prime is 202112201209. The reversal of 202112201200 is 2102211202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112201209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83827995 + ... + 83830405.

It is an arithmetic number, because the mean of its divisors is an integer number (1298041920).

Almost surely, 2^202112201200 is an apocalyptic number.

202112201200 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 202112201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311530060800).

202112201200 is an abundant number, since it is smaller than the sum of its proper divisors (420947920400).

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

202112201200 is a wasteful number, since it uses less digits than its factorization.

202112201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202112201200 its reverse (2102211202), we get a palindrome (204214412402).

The spelling of 202112201200 in words is "two hundred two billion, one hundred twelve million, two hundred one thousand, two hundred".