11212102132200 has 288 divisors, whose sum is σ = 39680141379840. Its totient is φ = 2831581632000.

The previous prime is 11212102132193. The next prime is 11212102132249. The reversal of 11212102132200 is 223120121211.

11212102132200 is a `hidden beast` number, since 1 + 1 + 21 + 210 + 213 + 220 + 0 = 666.

It is a super-2 number, since 2×11212102132200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2840689 + ... + 5522111.

It is an arithmetic number, because the mean of its divisors is an integer number (137778268680).

Almost surely, 2^{11212102132200} is an apocalyptic number.

11212102132200 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 11212102132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19840070689920).

11212102132200 is an abundant number, since it is smaller than the sum of its proper divisors (28468039247640).

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

11212102132200 is a wasteful number, since it uses less digits than its factorization.

11212102132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681569 (or 2681557 counting only the distinct ones).

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

Adding to 11212102132200 its reverse (223120121211), we get a palindrome (11435222253411).

The spelling of 11212102132200 in words is "eleven trillion, two hundred twelve billion, one hundred two million, one hundred thirty-two thousand, two hundred".