112021077123072 has 448 divisors, whose sum is σ = 358194011535360. Its totient is φ = 34393804111872.

The previous prime is 112021077123001. The next prime is 112021077123073. The reversal of 112021077123072 is 270321770120211.

It is a happy number.

112021077123072 is a `hidden beast` number, since 1 + 120 + 210 + 7 + 7 + 12 + 307 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112021077123073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1342766353 + ... + 1342849775.

It is an arithmetic number, because the mean of its divisors is an integer number (799540204320).

Almost surely, 2^{112021077123072} is an apocalyptic number.

112021077123072 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 112021077123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179097005767680).

112021077123072 is an abundant number, since it is smaller than the sum of its proper divisors (246172934412288).

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

112021077123072 is an equidigital number, since it uses as much as digits as its factorization.

112021077123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83938 (or 83908 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 112021077123072 in words is "one hundred twelve trillion, twenty-one billion, seventy-seven million, one hundred twenty-three thousand, seventy-two".