11212212310200 has 1056 divisors, whose sum is σ = 45175269825360. Its totient is φ = 2557719244800.

The previous prime is 11212212310127. The next prime is 11212212310241. The reversal of 11212212310200 is 201321221211.

11212212310200 is a `hidden beast` number, since 1 + 1 + 212 + 21 + 231 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 2208430062 + ... + 2208435138.

Almost surely, 2^{11212212310200} is an apocalyptic number.

11212212310200 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 11212212310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587634912680).

11212212310200 is an abundant number, since it is smaller than the sum of its proper divisors (33963057515160).

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

11212212310200 is a wasteful number, since it uses less digits than its factorization.

11212212310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11212212310200 its reverse (201321221211), we get a palindrome (11413533531411).

The spelling of 11212212310200 in words is "eleven trillion, two hundred twelve billion, two hundred twelve million, three hundred ten thousand, two hundred".