112771240512 has 672 divisors, whose sum is σ = 386055290880. Its totient is φ = 28844605440.

The previous prime is 112771240469. The next prime is 112771240529. The reversal of 112771240512 is 215042177211.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×112771240512⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260441448 + ... + 260441880.

It is an arithmetic number, because the mean of its divisors is an integer number (574487040).

Almost surely, 2^112771240512 is an apocalyptic number.

112771240512 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 112771240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193027645440).

112771240512 is an abundant number, since it is smaller than the sum of its proper divisors (273284050368).

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

112771240512 is a wasteful number, since it uses less digits than its factorization.

112771240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 112771240512 in words is "one hundred twelve billion, seven hundred seventy-one million, two hundred forty thousand, five hundred twelve".