2123120311312 has 160 divisors (see below), whose sum is σ = 5550844723200. Its totient is φ = 759721628160.

The previous prime is 2123120311261. The next prime is 2123120311393. The reversal of 2123120311312 is 2131130213212.

It is a super-2 number, since 2×2123120311312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2854113 + ... + 3520255.

It is an arithmetic number, because the mean of its divisors is an integer number (34692779520).

Almost surely, 2^{2123120311312} is an apocalyptic number.

2123120311312 is a gapful number since it is divisible by the number (22) 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 2123120311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775422361600).

2123120311312 is an abundant number, since it is smaller than the sum of its proper divisors (3427724411888).

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

2123120311312 is a wasteful number, since it uses less digits than its factorization.

2123120311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666381 (or 666375 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2123120311312 its reverse (2131130213212), we get a palindrome (4254250524524).

The spelling of 2123120311312 in words is "two trillion, one hundred twenty-three billion, one hundred twenty million, three hundred eleven thousand, three hundred twelve".