112121221312320 has 448 divisors, whose sum is σ = 401074414755840. Its totient is φ = 26290979020800.

The previous prime is 112121221312171. The next prime is 112121221312343. The reversal of 112121221312320 is 23213122121211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664129039 + ... + 664297841.

It is an arithmetic number, because the mean of its divisors is an integer number (895255390080).

Almost surely, 2^{112121221312320} is an apocalyptic number.

112121221312320 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 112121221312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200537207377920).

112121221312320 is an abundant number, since it is smaller than the sum of its proper divisors (288953193443520).

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

112121221312320 is a wasteful number, since it uses less digits than its factorization.

112121221312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170894 (or 170884 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 112121221312320 its reverse (23213122121211), we get a palindrome (135334343433531).

The spelling of 112121221312320 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred twenty-one million, three hundred twelve thousand, three hundred twenty".