11212102111200 has 72 divisors (see below), whose sum is σ = 36495392379768. Its totient is φ = 2989893895680.

The previous prime is 11212102111163. The next prime is 11212102111211. The reversal of 11212102111200 is 211120121211.

It is a happy number.

It is a super-2 number, since 2×11212102111200² (a number of 27 digits) contains 22 as substring.

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 11212102111200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2335852207 + ... + 2335857006.

It is an arithmetic number, because the mean of its divisors is an integer number (506880449719).

Almost surely, 2^{11212102111200} is an apocalyptic number.

11212102111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212102111200 is an abundant number, since it is smaller than the sum of its proper divisors (25283290268568).

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

11212102111200 is a wasteful number, since it uses less digits than its factorization.

11212102111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671709236 (or 4671709223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11212102111200 its reverse (211120121211), we get a palindrome (11423222232411).

The spelling of 11212102111200 in words is "eleven trillion, two hundred twelve billion, one hundred two million, one hundred eleven thousand, two hundred".