11211212111121 has 24 divisors (see below), whose sum is σ = 18143616002304. Its totient is φ = 6611034166560.

The previous prime is 11211212111111. The next prime is 11211212111131. The reversal of 11211212111121 is 12111121211211.

11211212111121 is a `hidden beast` number, since 11 + 211 + 212 + 111 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (11211212111111) and next prime (11211212111131).

It is not a de Polignac number, because 11211212111121 - 2⁵ = 11211212111089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11211212111094 and 11211212111103.

It is not an unprimeable number, because it can be changed into a prime (11211212111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1530328321 + ... + 1530335646.

It is an arithmetic number, because the mean of its divisors is an integer number (755984000096).

Almost surely, 2^{11211212111121} is an apocalyptic number.

11211212111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211212111121 is a deficient number, since it is larger than the sum of its proper divisors (6932403891183).

11211212111121 is a wasteful number, since it uses less digits than its factorization.

11211212111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060664021 (or 3060664018 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

Adding to 11211212111121 its reverse (12111121211211), we get a palindrome (23322333322332).

The spelling of 11211212111121 in words is "eleven trillion, two hundred eleven billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty-one".