112120966566640 has 160 divisors (see below), whose sum is σ = 265361394355200. Its totient is φ = 44045500584960.

The previous prime is 112120966566601. The next prime is 112120966566733. The reversal of 112120966566640 is 46665669021211.

It is a happy number.

It is a super-2 number, since 2×112120966566640² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 17576570971 + ... + 17576577349.

It is an arithmetic number, because the mean of its divisors is an integer number (1658508714720).

Almost surely, 2^{112120966566640} is an apocalyptic number.

112120966566640 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 112120966566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132680697177600).

112120966566640 is an abundant number, since it is smaller than the sum of its proper divisors (153240427788560).

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

112120966566640 is a wasteful number, since it uses less digits than its factorization.

112120966566640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11415 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 112120966566640 in words is "one hundred twelve trillion, one hundred twenty billion, nine hundred sixty-six million, five hundred sixty-six thousand, six hundred forty".