2112628262112 has 72 divisors (see below), whose sum is σ = 6007927436784. Its totient is φ = 704192914944.

The previous prime is 2112628262081. The next prime is 2112628262119.

2112628262112 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 6 + 28 + 2 + 621 + 1 + 2 = 666.

2112628262112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (2112628262119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22576573 + ... + 22669955.

It is an arithmetic number, because the mean of its divisors is an integer number (83443436622).

Almost surely, 2^{2112628262112} is an apocalyptic number.

It is an amenable number.

2112628262112 is an abundant number, since it is smaller than the sum of its proper divisors (3895299174672).

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

2112628262112 is a wasteful number, since it uses less digits than its factorization.

2112628262112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171952 (or 171941 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 2112628262112 in words is "two trillion, one hundred twelve billion, six hundred twenty-eight million, two hundred sixty-two thousand, one hundred twelve".