112334542241220 has 216 divisors, whose sum is σ = 368989570240200. Its totient is φ = 27650545108992.

The previous prime is 112334542241209. The next prime is 112334542241239. The reversal of 112334542241220 is 22142245433211.

112334542241220 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 4 + 5 + 422 + 4 + 1 + 220 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 36766953907776 + 75567588333444 = 6063576^2 + 8692962^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1102035216 + ... + 1102137144.

Almost surely, 2^{112334542241220} is an apocalyptic number.

112334542241220 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 112334542241220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184494785120100).

112334542241220 is an abundant number, since it is smaller than the sum of its proper divisors (256655027998980).

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

112334542241220 is a wasteful number, since it uses less digits than its factorization.

112334542241220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138199 (or 138181 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 112334542241220 its reverse (22142245433211), we get a palindrome (134476787674431).

The spelling of 112334542241220 in words is "one hundred twelve trillion, three hundred thirty-four billion, five hundred forty-two million, two hundred forty-one thousand, two hundred twenty".