2112210122112 has 96 divisors (see below), whose sum is σ = 6207426182880. Its totient is φ = 689089809408.

The previous prime is 2112210122053. The next prime is 2112210122167.

2112210122112 is a `hidden beast` number, since 211 + 221 + 0 + 1 + 221 + 12 = 666.

2112210122112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2112210122112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19451343 + ... + 19559630.

It is an arithmetic number, because the mean of its divisors is an integer number (64660689405).

Almost surely, 2^{2112210122112} is an apocalyptic number.

It is an amenable number.

2112210122112 is an abundant number, since it is smaller than the sum of its proper divisors (4095216060768).

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

2112210122112 is a wasteful number, since it uses less digits than its factorization.

2112210122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39011040 (or 39011025 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2112210 and 122112, that added together give a palindrome (2234322).

The spelling of 2112210122112 in words is "two trillion, one hundred twelve billion, two hundred ten million, one hundred twenty-two thousand, one hundred twelve".