12211121000001 has 64 divisors (see below), whose sum is σ = 20727276466176. Its totient is φ = 6210873676800.

The previous prime is 12211120999969. The next prime is 12211121000009. The reversal of 12211121000001 is 10000012111221.

12211121000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12211121000001 - 2⁵ = 12211120999969 is a prime.

It is a super-2 number, since 2×12211121000001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211121000009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332605 + ... + 4953066.

It is an arithmetic number, because the mean of its divisors is an integer number (323863694784).

Almost surely, 2^{12211121000001} is an apocalyptic number.

12211121000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211121000001 is a deficient number, since it is larger than the sum of its proper divisors (8516155466175).

12211121000001 is a wasteful number, since it uses less digits than its factorization.

12211121000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5285902.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211121000001 its reverse (10000012111221), we get a palindrome (22211133111222).

It can be divided in two parts, 122111 and 21000001, that added together give a palindrome (21122112).

The spelling of 12211121000001 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one", and thus it is an aban number.