2112330332112 has 1080 divisors, whose sum is σ = 7766034379488. Its totient is φ = 492349777920.

The previous prime is 2112330332081. The next prime is 2112330332137.

2112330332112 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1779553183 + ... + 1779554369.

Almost surely, 2^{2112330332112} is an apocalyptic number.

2112330332112 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 2112330332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883017189744).

2112330332112 is an abundant number, since it is smaller than the sum of its proper divisors (5653704047376).

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

2112330332112 is a wasteful number, since it uses less digits than its factorization.

2112330332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2112330 and 332112, that added together give a palindrome (2444442).

The spelling of 2112330332112 in words is "two trillion, one hundred twelve billion, three hundred thirty million, three hundred thirty-two thousand, one hundred twelve".