11212012102200 has 384 divisors, whose sum is σ = 42789336307200. Its totient is φ = 2364992133120.

The previous prime is 11212012102171. The next prime is 11212012102241. The reversal of 11212012102200 is 220121021211.

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 11212012102200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225964594 + ... + 226014206.

It is an arithmetic number, because the mean of its divisors is an integer number (111430563300).

Almost surely, 2^{11212012102200} is an apocalyptic number.

11212012102200 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 11212012102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21394668153600).

11212012102200 is an abundant number, since it is smaller than the sum of its proper divisors (31577324205000).

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

11212012102200 is a wasteful number, since it uses less digits than its factorization.

11212012102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53791 (or 53782 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11212012102200 its reverse (220121021211), we get a palindrome (11432133123411).

The spelling of 11212012102200 in words is "eleven trillion, two hundred twelve billion, twelve million, one hundred two thousand, two hundred".