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12200120110112 = 2511793791157591
BaseRepresentation
bin1011000110001000111111…
…0100110100110000100000
31121012022122100101000101112
42301202033310310300200
53044341321222010422
641540354030322452
72366300230616534
oct261421764646040
947168570330345
1012200120110112
113984050822560
12145056b659428
136a660a873b1c
143026bba07bc4
15162546bbcee2
hexb188fd34c20

12200120110112 has 96 divisors (see below), whose sum is σ = 26604242380800. Its totient is φ = 5460861369600.

The previous prime is 12200120110103. The next prime is 12200120110141. The reversal of 12200120110112 is 21101102100221.

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, 9960437 + ... + 11118027.

It is an arithmetic number, because the mean of its divisors is an integer number (277127524800).

Almost surely, 212200120110112 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 12200120110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13302121190400).

12200120110112 is an abundant number, since it is smaller than the sum of its proper divisors (14404122270688).

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

12200120110112 is a wasteful number, since it uses less digits than its factorization.

12200120110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158070 (or 1158062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12200120110112 its reverse (21101102100221), we get a palindrome (33301222210333).

The spelling of 12200120110112 in words is "twelve trillion, two hundred billion, one hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 379 632 758 869 1264 1516 1738 2528 3032 3476 4169 6064 6952 8338 12128 13904 16676 27808 29941 33352 59882 66704 119764 133408 239528 329351 479056 658702 958112 1157591 1317404 2315182 2634808 4630364 5269616 9260728 10539232 12733501 18521456 25467002 37042912 50934004 91449689 101868008 182899378 203736016 365798756 407472032 438726989 731597512 877453978 1005946579 1463195024 1754907956 2011893158 2926390048 3509815912 4023786316 4825996879 7019631824 8047572632 9651993758 14039263648 16095145264 19303987516 32190290528 34659432131 38607975032 69318864262 77215950064 138637728524 154431900128 277275457048 381253753441 554550914096 762507506882 1109101828192 1525015013764 3050030027528 6100060055056 12200120110112