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112001120222112 = 253311172351294859
BaseRepresentation
bin11001011101110101001010…
…111111000011101110100000
3112200120012110122021210221000
4121131311022333003232200
5104140011243234101422
61034112334311032000
732406546111663402
oct3135651277035640
9480505418253830
10112001120222112
1132761454558480
121068a69866b600
134a65877946a44
141d92c514b4b72
15ce3615c1ccac
hex65dd4afc3ba0

112001120222112 has 384 divisors, whose sum is σ = 377491755110400. Its totient is φ = 31929583104000.

The previous prime is 112001120222053. The next prime is 112001120222113. The reversal of 112001120222112 is 211222021100211.

112001120222112 is a `hidden beast` number, since 11 + 200 + 1 + 120 + 222 + 112 = 666.

112001120222112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112001120222113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379698939 + ... + 379993797.

It is an arithmetic number, because the mean of its divisors is an integer number (983051445600).

Almost surely, 2112001120222112 is an apocalyptic number.

112001120222112 is a gapful number since it is divisible by the number (12) 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 112001120222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188745877555200).

112001120222112 is an abundant number, since it is smaller than the sum of its proper divisors (265490634888288).

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

112001120222112 is a wasteful number, since it uses less digits than its factorization.

112001120222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297257 (or 297243 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112001120222112 its reverse (211222021100211), we get a palindrome (323223141322323).

The spelling of 112001120222112 in words is "one hundred twelve trillion, one billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".