2121112111212 has 144 divisors (see below), whose sum is σ = 5518523250240. Its totient is φ = 686688192000.

The previous prime is 2121112111211. The next prime is 2121112111213.

It is a happy number.

2121112111212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2121112111211) and next prime (2121112111213).

It is a super-2 number, since 2×2121112111212² (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2121112111211) 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, 82717089 + ... + 82742727.

Almost surely, 2^{2121112111212} 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 2121112111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759261625120).

2121112111212 is an abundant number, since it is smaller than the sum of its proper divisors (3397411139028).

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

2121112111212 is a wasteful number, since it uses less digits than its factorization.

2121112111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26184 (or 26179 counting only the distinct ones).

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

The spelling of 2121112111212 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, two hundred twelve".