Search a number
-
+
12211200221094 = 2327413389697481
BaseRepresentation
bin1011000110110010010001…
…0000000101111110100110
31121020101020112112222020100
42301230210100011332212
53100032014224033334
641545425315444530
72400141632200230
oct261544420057646
947211215488210
1012211200221094
1139888171a7976
1214527422b6746
136a768526a204
1430304d3ad250
151629947d3c99
hexb1b24405fa6

12211200221094 has 96 divisors (see below), whose sum is σ = 30983935993920. Its totient is φ = 3402809625600.

The previous prime is 12211200221029. The next prime is 12211200221149. The reversal of 12211200221094 is 49012200211221.

It is a super-3 number, since 3×122112002210943 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17158834 + ... + 17856314.

It is an arithmetic number, because the mean of its divisors is an integer number (322749333270).

Almost surely, 212211200221094 is an apocalyptic number.

12211200221094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211200221094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491967996960).

12211200221094 is an abundant number, since it is smaller than the sum of its proper divisors (18772735772826).

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

12211200221094 is a wasteful number, since it uses less digits than its factorization.

12211200221094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700926 (or 700923 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12211200221094 in words is "twelve trillion, two hundred eleven billion, two hundred million, two hundred twenty-one thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 3389 5166 6778 10167 20334 23723 30501 47446 61002 71169 138949 142338 213507 277898 416847 427014 697481 833694 972643 1250541 1394962 1945286 2092443 2501082 2917929 4184886 4882367 5835858 6277329 8753787 9764734 12554658 14647101 17507574 28596721 29294202 43941303 57193442 85790163 87882606 171580326 200177047 257370489 400354094 514740978 600531141 1201062282 1801593423 2363763109 3603186846 4727526218 7091289327 14182578654 16546341763 21273867981 33092683526 42547735962 49639025289 96914287469 99278050578 148917075867 193828574938 290742862407 297834151734 581485724814 678400012283 872228587221 1356800024566 1744457174442 2035200036849 4070400073698 6105600110547 12211200221094