2112414142112 has 48 divisors (see below), whose sum is σ = 4162568102784. Its totient is φ = 1055254464000.

The previous prime is 2112414142103. The next prime is 2112414142133.

It is a happy number.

2112414142112 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 232358687 + ... + 232367777.

It is an arithmetic number, because the mean of its divisors is an integer number (86720168808).

Almost surely, 2^{2112414142112} is an apocalyptic number.

It is an amenable number.

2112414142112 is a deficient number, since it is larger than the sum of its proper divisors (2050153960672).

2112414142112 is a wasteful number, since it uses less digits than its factorization.

2112414142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14853 (or 14845 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The spelling of 2112414142112 in words is "two trillion, one hundred twelve billion, four hundred fourteen million, one hundred forty-two thousand, one hundred twelve".