2121334341312 has 112 divisors (see below), whose sum is σ = 5769804604640. Its totient is φ = 687354273792.

The previous prime is 2121334341307. The next prime is 2121334341317. The reversal of 2121334341312 is 2131434331212.

It is an interprime number because it is at equal distance from previous prime (2121334341307) and next prime (2121334341317).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2121334341312.

It is not an unprimeable number, because it can be changed into a prime (2121334341317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7454508 + ... + 7733844.

Almost surely, 2^{2121334341312} 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 2121334341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884902302320).

2121334341312 is an abundant number, since it is smaller than the sum of its proper divisors (3648470263328).

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

2121334341312 is a wasteful number, since it uses less digits than its factorization.

2121334341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280458 (or 280448 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 2121334341312 its reverse (2131434331212), we get a palindrome (4252768672524).

It can be divided in two parts, 2121 and 334341312, that added together give a palindrome (334343433).

The spelling of 2121334341312 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-four million, three hundred forty-one thousand, three hundred twelve".