11212100122120 has 64 divisors (see below), whose sum is σ = 25538767007040. Its totient is φ = 4429487020800.

The previous prime is 11212100122057. The next prime is 11212100122187. The reversal of 11212100122120 is 2122100121211.

It is a super-2 number, since 2×11212100122120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11212100122094 and 11212100122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10690810 + ... + 11692630.

It is an arithmetic number, because the mean of its divisors is an integer number (399043234485).

Almost surely, 2^{11212100122120} is an apocalyptic number.

11212100122120 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 11212100122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769383503520).

11212100122120 is an abundant number, since it is smaller than the sum of its proper divisors (14326666884920).

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

11212100122120 is a wasteful number, since it uses less digits than its factorization.

11212100122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005286 (or 1005282 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11212100122120 its reverse (2122100121211), we get a palindrome (13334200243331).

Subtracting from 11212100122120 its reverse (2122100121211), we obtain a palindrome (9090000000909).

The spelling of 11212100122120 in words is "eleven trillion, two hundred twelve billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".