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112200122200200 = 233521136412581699
BaseRepresentation
bin11001100000101110100000…
…011011010111000010001000
3112201021020010102121201201220
4121200232200123113002020
5104201241322240401300
61034344005150042040
732430122423615466
oct3140564033270210
9481236112551656
10112200122200200
1132828893a26a81
1210701175aa9320
134a7b57026c1b8
141d9c72cc01836
15ce88b1751da0
hex660ba06d7088

112200122200200 has 192 divisors, whose sum is σ = 351445994856000. Its totient is φ = 29608978022400.

The previous prime is 112200122200141. The next prime is 112200122200219. The reversal of 112200122200200 is 2002221002211.

112200122200200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112200122200200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42168951 + ... + 44750649.

It is an arithmetic number, because the mean of its divisors is an integer number (1830447889875).

Almost surely, 2112200122200200 is an apocalyptic number.

112200122200200 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 112200122200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175722997428000).

112200122200200 is an abundant number, since it is smaller than the sum of its proper divisors (239245872655800).

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

112200122200200 is a wasteful number, since it uses less digits than its factorization.

112200122200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582472 (or 2582463 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 112200122200200 its reverse (2002221002211), we get a palindrome (114202343202411).

The spelling of 112200122200200 in words is "one hundred twelve trillion, two hundred billion, one hundred twenty-two million, two hundred thousand, two hundred".