12211112001121 has 48 divisors (see below), whose sum is σ = 13911325243200. Its totient is φ = 10705614480000.

The previous prime is 12211112001091. The next prime is 12211112001149. The reversal of 12211112001121 is 12110021111221.

It is not a de Polignac number, because 12211112001121 - 2⁷ = 12211112000993 is a prime.

It is a super-2 number, since 2×12211112001121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211112001095 and 12211112001104.

It is not an unprimeable number, because it can be changed into a prime (12211112001421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78515566 + ... + 78670936.

It is an arithmetic number, because the mean of its divisors is an integer number (289819275900).

Almost surely, 2^{12211112001121} is an apocalyptic number.

12211112001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211112001121 is a deficient number, since it is larger than the sum of its proper divisors (1700213242079).

12211112001121 is a wasteful number, since it uses less digits than its factorization.

12211112001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155662 (or 155651 counting only the distinct ones).

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

Adding to 12211112001121 its reverse (12110021111221), we get a palindrome (24321133112342).

The spelling of 12211112001121 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, one thousand, one hundred twenty-one".