112112120001120 has 96 divisors (see below), whose sum is σ = 353501800640352. Its totient is φ = 29867052306432.

The previous prime is 112112120001041. The next prime is 112112120001139. The reversal of 112112120001120 is 21100021211211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×112112120001120⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112112120001120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114798517 + ... + 115770996.

It is an arithmetic number, because the mean of its divisors is an integer number (3682310423337).

Almost surely, 2^{112112120001120} is an apocalyptic number.

112112120001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112120001120 is an abundant number, since it is smaller than the sum of its proper divisors (241389680639232).

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

112112120001120 is a wasteful number, since it uses less digits than its factorization.

112112120001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230570544 (or 230570536 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112112120001120 its reverse (21100021211211), we get a palindrome (133212141212331).

The spelling of 112112120001120 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty million, one thousand, one hundred twenty".