112054187037312 has 1280 divisors, whose sum is σ = 377302641408000. Its totient is φ = 32972608880640.

The previous prime is 112054187037257. The next prime is 112054187037383. The reversal of 112054187037312 is 213730781450211.

112054187037312 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 541 + 8 + 70 + 3 + 7 + 31 + 2 = 666.

It is a super-2 number, since 2×112054187037312² (a number of 29 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 62845869573 + ... + 62845871355.

It is an arithmetic number, because the mean of its divisors is an integer number (294767688600).

Almost surely, 2^{112054187037312} is an apocalyptic number.

112054187037312 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 112054187037312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188651320704000).

112054187037312 is an abundant number, since it is smaller than the sum of its proper divisors (265248454370688).

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

112054187037312 is an equidigital number, since it uses as much as digits as its factorization.

112054187037312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 112054187037312 in words is "one hundred twelve trillion, fifty-four billion, one hundred eighty-seven million, thirty-seven thousand, three hundred twelve".