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112111122121200 = 2432521929371527541
BaseRepresentation
bin11001011111011011100111…
…100111000000000111110000
3112200221201101212021021100200
4121133123213213000013300
5104143312034230334300
61034235045525315200
732420522055463506
oct3137334747000760
9480851355237320
10112111122121200
11327a4072785384
12106a7a77b65b00
134a7305865a167
141d982c8a30676
15ce640308d200
hex65f6e79c01f0

112111122121200 has 720 divisors, whose sum is σ = 435105674296800. Its totient is φ = 26607058329600.

The previous prime is 112111122121127. The next prime is 112111122121247. The reversal of 112111122121200 is 2121221111211.

It is a happy number.

112111122121200 is a `hidden beast` number, since 1 + 1 + 211 + 11 + 221 + 21 + 200 = 666.

112111122121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72629430 + ... + 74156970.

Almost surely, 2112111122121200 is an apocalyptic number.

112111122121200 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 112111122121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217552837148400).

112111122121200 is an abundant number, since it is smaller than the sum of its proper divisors (322994552175600).

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

112111122121200 is a wasteful number, since it uses less digits than its factorization.

112111122121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527650 (or 1527636 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112111122121200 its reverse (2121221111211), we get a palindrome (114232343232411).

The spelling of 112111122121200 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".