2123113212312 has 128 divisors (see below), whose sum is σ = 5612055187200. Its totient is φ = 667472306688.

The previous prime is 2123113212271. The next prime is 2123113212317. The reversal of 2123113212312 is 2132123113212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123113212317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122764338 + ... + 122781630.

It is an arithmetic number, because the mean of its divisors is an integer number (43844181150).

Almost surely, 2^{2123113212312} 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 2123113212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806027593600).

2123113212312 is an abundant number, since it is smaller than the sum of its proper divisors (3488941974888).

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

2123113212312 is a wasteful number, since it uses less digits than its factorization.

2123113212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18505 (or 18501 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 2123113212312 its reverse (2132123113212), we get a palindrome (4255236325524).

The spelling of 2123113212312 in words is "two trillion, one hundred twenty-three billion, one hundred thirteen million, two hundred twelve thousand, three hundred twelve".