2112642415128 has 128 divisors (see below), whose sum is σ = 6077735193600. Its totient is φ = 599457245184.

The previous prime is 2112642415111. The next prime is 2112642415129. The reversal of 2112642415128 is 8215142462112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112642415129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31641876 + ... + 31708572.

It is an arithmetic number, because the mean of its divisors is an integer number (47482306200).

Almost surely, 2^{2112642415128} is an apocalyptic number.

2112642415128 is a gapful number since it is divisible by the number (28) 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 2112642415128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038867596800).

2112642415128 is an abundant number, since it is smaller than the sum of its proper divisors (3965092778472).

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

2112642415128 is a wasteful number, since it uses less digits than its factorization.

2112642415128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68009 (or 68005 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The spelling of 2112642415128 in words is "two trillion, one hundred twelve billion, six hundred forty-two million, four hundred fifteen thousand, one hundred twenty-eight".