12211121121012 has 108 divisors (see below), whose sum is σ = 33937257341988. Its totient is φ = 3699350899200.

The previous prime is 12211121120941. The next prime is 12211121121013. The reversal of 12211121121012 is 21012112111221.

It is a happy number.

12211121121012 is a `hidden beast` number, since 1 + 221 + 11 + 211 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5641926575076 + 6569194545936 = 2375274^2 + 2563044^2 .

It is a super-3 number, since 3×12211121121012³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211121121013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16010238 + ... + 16755594.

Almost surely, 2^{12211121121012} is an apocalyptic number.

12211121121012 is a gapful number since it is divisible by the number (12) 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 12211121121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968628670994).

12211121121012 is an abundant number, since it is smaller than the sum of its proper divisors (21726136220976).

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

12211121121012 is a wasteful number, since it uses less digits than its factorization.

12211121121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749150 (or 749134 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12211121121012 its reverse (21012112111221), we get a palindrome (33223233232233).

The spelling of 12211121121012 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, twelve".