2112111232032 has 96 divisors (see below), whose sum is σ = 5582420726400. Its totient is φ = 699196897280.

The previous prime is 2112111232027. The next prime is 2112111232039. The reversal of 2112111232032 is 2302321112112.

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

It is a super-2 number, since 2×2112111232032² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112111232039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 172228333 + ... + 172240595.

It is an arithmetic number, because the mean of its divisors is an integer number (58150215900).

Almost surely, 2^{2112111232032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112111232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791210363200).

2112111232032 is an abundant number, since it is smaller than the sum of its proper divisors (3470309494368).

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

2112111232032 is a wasteful number, since it uses less digits than its factorization.

2112111232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24466 (or 24458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2112111232032 its reverse (2302321112112), we get a palindrome (4414432344144).

The spelling of 2112111232032 in words is "two trillion, one hundred twelve billion, one hundred eleven million, two hundred thirty-two thousand, thirty-two".