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12442164201320 = 235753281833999
BaseRepresentation
bin1011010100001110101011…
…0001110000011101101000
31122001110101211000211101012
42311003222301300131220
53112323023013420240
642243503515243052
72422626266504120
oct265035261603550
948043354024335
1012442164201320
113a67768363777
12148b45b749488
136c33a2589679
143102bd94bc80
151689b12eab65
hexb50eac70768

12442164201320 has 64 divisors (see below), whose sum is σ = 31994775360000. Its totient is φ = 4265799690240.

The previous prime is 12442164201221. The next prime is 12442164201329. The reversal of 12442164201320 is 2310246124421.

It is not an unprimeable number, because it can be changed into a prime (12442164201329) 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, 14501681 + ... + 15335679.

It is an arithmetic number, because the mean of its divisors is an integer number (499918365000).

Almost surely, 212442164201320 is an apocalyptic number.

12442164201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442164201320 is an abundant number, since it is smaller than the sum of its proper divisors (19552611158680).

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

12442164201320 is a wasteful number, since it uses less digits than its factorization.

12442164201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887298 (or 887294 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 12442164201320 in words is "twelve trillion, four hundred forty-two billion, one hundred sixty-four million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 53281 106562 213124 266405 372967 426248 532810 745934 833999 1065620 1491868 1667998 1864835 2131240 2983736 3335996 3729670 4169995 5837993 6671992 7459340 8339990 11675986 14918680 16679980 23351972 29189965 33359960 46703944 58379930 116759860 233519720 44436300719 88872601438 177745202876 222181503595 311054105033 355490405752 444363007190 622108210066 888726014380 1244216420132 1555270525165 1777452028760 2488432840264 3110541050330 6221082100660 12442164201320