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112201220001222 = 23311472234136527
BaseRepresentation
bin11001100000101111100001…
…110111001000110111000110
3112201021022221221022210122000
4121200233201313020313012
5104201301044310014342
61034344310123450130
732430161554022532
oct3140574167106706
9481238857283560
10112201220001222
11328292a767a150
1210701421686946
134a7b6b682ccc1
141d9c7d492abc2
15ce8927d0144c
hex660be1dc8dc6

112201220001222 has 192 divisors, whose sum is σ = 278039715886080. Its totient is φ = 33261832094400.

The previous prime is 112201220001203. The next prime is 112201220001239. The reversal of 112201220001222 is 222100022102211.

It is a happy number.

112201220001222 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 220 + 0 + 0 + 1 + 222 = 666.

112201220001222 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1122012200012222 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112201220001195 and 112201220001204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3071715523 + ... + 3071752049.

It is an arithmetic number, because the mean of its divisors is an integer number (1448123520240).

Almost surely, 2112201220001222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112201220001222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139019857943040).

112201220001222 is an abundant number, since it is smaller than the sum of its proper divisors (165838495884858).

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

112201220001222 is a wasteful number, since it uses less digits than its factorization.

112201220001222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38984 (or 38931 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112201220001222 its reverse (222100022102211), we get a palindrome (334301242103433).

The spelling of 112201220001222 in words is "one hundred twelve trillion, two hundred one billion, two hundred twenty million, one thousand, two hundred twenty-two".