11212023200 has 216 divisors, whose sum is σ = 32004787500. Its totient is φ = 3824271360.

The previous prime is 11212023197. The next prime is 11212023203. The reversal of 11212023200 is 232021211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11212023197) and next prime (11212023203).

It can be written as a sum of positive squares in 6 ways, for example, as 6417291664 + 4794731536 = 80108^2 + 69244^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11212023203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8976176 + ... + 8977424.

Almost surely, 2^11212023200 is an apocalyptic number.

11212023200 is a gapful number since it is divisible by the number (10) 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 11212023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002393750).

11212023200 is an abundant number, since it is smaller than the sum of its proper divisors (20792764300).

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

11212023200 is a wasteful number, since it uses less digits than its factorization.

11212023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11212023200 its reverse (232021211), we get a palindrome (11444044411).

The spelling of 11212023200 in words is "eleven billion, two hundred twelve million, twenty-three thousand, two hundred".