Search a number
-
+
12022211221984 = 254373921615471
BaseRepresentation
bin1010111011110010001110…
…1000010001100111100000
31120120022102120102002100201
42232330203220101213200
53033432442033100414
641322532205354544
72350401413204515
oct256744350214740
946508376362321
1012022211221984
1139156558a8707
121421b9a268a54
136928c72279a2
142d7c4182330c
1515cad2d73574
hexaef23a119e0

12022211221984 has 96 divisors (see below), whose sum is σ = 24267594193920. Its totient is φ = 5859583027200.

The previous prime is 12022211221967. The next prime is 12022211222029. The reversal of 12022211221984 is 48912211222021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2197440369 + ... + 2197445839.

It is an arithmetic number, because the mean of its divisors is an integer number (252787439520).

Almost surely, 212022211221984 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 12022211221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133797096960).

12022211221984 is an abundant number, since it is smaller than the sum of its proper divisors (12245382971936).

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

12022211221984 is a wasteful number, since it uses less digits than its factorization.

12022211221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

Adding to 12022211221984 its sum of digits (37), we get a palindrome (12022211222021).

The spelling of 12022211221984 in words is "twelve trillion, twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 739 1376 1478 2161 2956 4322 5471 5912 8644 10942 11824 17288 21884 23648 31777 34576 43768 63554 69152 87536 92923 127108 175072 185846 235253 254216 371692 470506 508432 743384 941012 1016864 1486768 1596979 1882024 2973536 3193958 3764048 4043069 6387916 7528096 8086138 11822831 12775832 16172276 23645662 25551664 32344552 47291324 51103328 64689104 68670097 94582648 129378208 137340194 173851967 189165296 274680388 347703934 378330592 508381733 549360776 695407868 1016763466 1098721552 1390815736 2033526932 2197443104 2781631472 4067053864 5563262944 8134107728 8737072109 16268215456 17474144218 34948288436 69896576872 139793153744 279586307488 375694100687 751388201374 1502776402748 3005552805496 6011105610992 12022211221984