112371012003840 has 768 divisors, whose sum is σ = 378196032614400. Its totient is φ = 28429243121664.

The previous prime is 112371012003827. The next prime is 112371012003857. The reversal of 112371012003840 is 48300210173211.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111368693256 + ... + 111368694264.

It is an arithmetic number, because the mean of its divisors is an integer number (492442750800).

Almost surely, 2^{112371012003840} is an apocalyptic number.

112371012003840 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 112371012003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189098016307200).

112371012003840 is an abundant number, since it is smaller than the sum of its proper divisors (265825020610560).

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

112371012003840 is a wasteful number, since it uses less digits than its factorization.

112371012003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 112371012003840 in words is "one hundred twelve trillion, three hundred seventy-one billion, twelve million, three thousand, eight hundred forty".