112114221233000 has 512 divisors, whose sum is σ = 308324016000000. Its totient is φ = 37366230528000.

The previous prime is 112114221232963. The next prime is 112114221233017. The reversal of 112114221233000 is 332122411211.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19501514126 + ... + 19501519874.

It is an arithmetic number, because the mean of its divisors is an integer number (602195343750).

Almost surely, 2^{112114221233000} is an apocalyptic number.

112114221233000 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 112114221233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154162008000000).

112114221233000 is an abundant number, since it is smaller than the sum of its proper divisors (196209794767000).

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

112114221233000 is a wasteful number, since it uses less digits than its factorization.

112114221233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366 (or 6352 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 112114221233000 its reverse (332122411211), we get a palindrome (112446343644211).

The spelling of 112114221233000 in words is "one hundred twelve trillion, one hundred fourteen billion, two hundred twenty-one million, two hundred thirty-three thousand".