112069077120 has 3072 divisors, whose sum is σ = 583446528000. Its totient is φ = 19707494400.

The previous prime is 112069077091. The next prime is 112069077161. The reversal of 112069077120 is 21770960211.

It is a happy number.

112069077120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3615131505 + ... + 3615131535.

It is an arithmetic number, because the mean of its divisors is an integer number (189924000).

Almost surely, 2^112069077120 is an apocalyptic number.

112069077120 is a gapful number since it is divisible by the number (10) 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 112069077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291723264000).

112069077120 is an abundant number, since it is smaller than the sum of its proper divisors (471377450880).

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

112069077120 is a wasteful number, since it uses less digits than its factorization.

112069077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 112069077120 in words is "one hundred twelve billion, sixty-nine million, seventy-seven thousand, one hundred twenty".