12121000212112 has 60 divisors (see below), whose sum is σ = 25831492577100. Its totient is φ = 5505699527680.

The previous prime is 12121000212107. The next prime is 12121000212131. The reversal of 12121000212112 is 21121200012121.

It can be written as a sum of positive squares in 2 ways, for example, as 6179320958976 + 5941679253136 = 2485824^2 + 2437556^2 .

It is a super-2 number, since 2×12121000212112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589764 + ... + 4958812.

It is an arithmetic number, because the mean of its divisors is an integer number (430524876285).

Almost surely, 2^{12121000212112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121000212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12915746288550).

12121000212112 is an abundant number, since it is smaller than the sum of its proper divisors (13710492364988).

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

12121000212112 is a wasteful number, since it uses less digits than its factorization.

12121000212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370512 (or 4370495 counting only the distinct ones).

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

Adding to 12121000212112 its reverse (21121200012121), we get a palindrome (33242200224233).

The spelling of 12121000212112 in words is "twelve trillion, one hundred twenty-one billion, two hundred twelve thousand, one hundred twelve".