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12211011092 = 2272295034271
BaseRepresentation
bin10110101111101010…
…10011111000010100
31011112000011122011002
423113311103320110
5200002004323332
65335404202432
7611412611300
oct132765237024
934460148132
1012211011092
1151a6885405
122449539418
1311c7aa5967
1483ba68d00
154b7052562
hex2d7d53e14

12211011092 has 72 divisors (see below), whose sum is σ = 25772463360. Its totient is φ = 5041606080.

The previous prime is 12211011091. The next prime is 12211011097. The reversal of 12211011092 is 29011011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211011091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2856917 + ... + 2861187.

It is an arithmetic number, because the mean of its divisors is an integer number (357950880).

Almost surely, 212211011092 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 12211011092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886231680).

12211011092 is an abundant number, since it is smaller than the sum of its proper divisors (13561452268).

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

12211011092 is a wasteful number, since it uses less digits than its factorization.

12211011092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 12211011092 in words is "twelve billion, two hundred eleven million, eleven thousand, ninety-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 503 812 1006 1421 2012 2842 3521 4271 5684 7042 8542 14084 14587 17084 24647 29174 29897 49294 58348 59794 98588 102109 119588 123859 204218 209279 247718 408436 418558 495436 714763 837116 867013 1429526 1734026 2148313 2859052 3468052 4296626 6069091 8593252 12138182 15038191 24276364 30076382 60152764 62301077 105267337 124602154 210534674 249204308 421069348 436107539 872215078 1744430156 3052752773 6105505546 12211011092