Search a number
-
+
121222101112 = 237109129115383
BaseRepresentation
bin111000011100101100…
…1100111100001111000
3102120220011202210001121
41300321121213201320
53441230324213422
6131404430155024
711520665600260
oct1607131474170
9376804683047
10121222101112
1147456796842
121b5b1052a74
13b57b449418
145c1d78a7a0
1532474098c7
hex1c39667878

121222101112 has 64 divisors (see below), whose sum is σ = 262364889600. Its totient is φ = 51432485760.

The previous prime is 121222101107. The next prime is 121222101167. The reversal of 121222101112 is 211101222121.

121222101112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7872573 + ... + 7887955.

It is an arithmetic number, because the mean of its divisors is an integer number (4099451400).

Almost surely, 2121222101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121222101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131182444800).

121222101112 is an abundant number, since it is smaller than the sum of its proper divisors (141142788488).

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

121222101112 is a wasteful number, since it uses less digits than its factorization.

121222101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16796 (or 16792 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121222101112 its reverse (211101222121), we get a palindrome (332323323233).

The spelling of 121222101112 in words is "one hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 109 218 436 763 872 1291 1526 2582 3052 5164 6104 9037 10328 15383 18074 30766 36148 61532 72296 107681 123064 140719 215362 281438 430724 562876 861448 985033 1125752 1676747 1970066 3353494 3940132 6706988 7880264 11737229 13413976 19859453 23474458 39718906 46948916 79437812 93897832 139016171 158875624 278032342 556064684 1112129368 2164680377 4329360754 8658721508 15152762639 17317443016 30305525278 60611050556 121222101112