112011432148032 has 224 divisors, whose sum is σ = 304694739148800. Its totient is φ = 36294300979200.

The previous prime is 112011432148019. The next prime is 112011432148043. The reversal of 112011432148032 is 230841234110211.

It is a super-2 number, since 2×112011432148032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112011432147984 and 112011432148002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4583294469 + ... + 4583318907.

It is an arithmetic number, because the mean of its divisors is an integer number (1360244371200).

Almost surely, 2^{112011432148032} is an apocalyptic number.

112011432148032 is a gapful number since it is divisible by the number (12) 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 112011432148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152347369574400).

112011432148032 is an abundant number, since it is smaller than the sum of its proper divisors (192683307000768).

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

112011432148032 is a wasteful number, since it uses less digits than its factorization.

112011432148032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26585 (or 26575 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 112011432148032 its reverse (230841234110211), we get a palindrome (342852666258243).

The spelling of 112011432148032 in words is "one hundred twelve trillion, eleven billion, four hundred thirty-two million, one hundred forty-eight thousand, thirty-two".