Search a number
-
+
12122019983616 = 28359883302971
BaseRepresentation
bin1011000001100110000010…
…1100011111000100000000
31120220212001102012111212220
42300121200230133010000
53042101344103433431
641440440141451040
72360533645526664
oct260314054370400
946825042174786
1012122019983616
113953a13295574
1214393b3b70a80
1369c14222a11a
142dc9cd3028a4
151604c53d4b96
hexb0660b1f100

12122019983616 has 144 divisors (see below), whose sum is σ = 32846333694720. Its totient is φ = 3967675729920.

The previous prime is 12122019983609. The next prime is 12122019983617. The reversal of 12122019983616 is 61638991022121.

It is not an unprimeable number, because it can be changed into a prime (12122019983617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39859011 + ... + 40161981.

Almost surely, 212122019983616 is an apocalyptic number.

12122019983616 is a gapful number since it is divisible by the number (16) 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 12122019983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16423166847360).

12122019983616 is an abundant number, since it is smaller than the sum of its proper divisors (20724313711104).

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

12122019983616 is an equidigital number, since it uses as much as digits as its factorization.

12122019983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303932 (or 303918 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 12122019983616 in words is "twelve trillion, one hundred twenty-two billion, nineteen million, nine hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 883 944 1416 1766 1888 2649 2832 3532 3776 5298 5664 7064 7552 10596 11328 14128 15104 21192 22656 28256 42384 45312 52097 56512 84768 104194 113024 156291 169536 208388 226048 302971 312582 339072 416776 605942 625164 678144 833552 908913 1211884 1250328 1667104 1817826 2423768 2500656 3334208 3635652 4847536 5001312 6668416 7271304 9695072 10002624 13336832 14542608 17875289 19390144 20005248 29085216 35750578 38780288 40010496 53625867 58170432 71501156 77560576 107251734 116340864 143002312 214503468 232681728 267523393 286004624 429006936 535046786 572009248 802570179 858013872 1070093572 1144018496 1605140358 1716027744 2140187144 2288036992 3210280716 3432055488 4280374288 4576073984 6420561432 6864110976 8560748576 12841122864 13728221952 15783880187 17121497152 25682245728 31567760374 34242994304 47351640561 51364491456 63135520748 68485988608 94703281122 102728982912 126271041496 189406562244 205457965824 252542082992 378813124488 505084165984 757626248976 1010168331968 1515252497952 2020336663936 3030504995904 4040673327872 6061009991808 12122019983616