Search a number
-
+
12002000120112 = 2431966071199181
BaseRepresentation
bin1010111010100110111011…
…1101000010100100110000
31120111101021000122201210010
42232221232331002210300
53033120044012320422
641305350455334520
72346054515524332
oct256515675024460
946441230581703
1012002000120112
1139080241a3732
12141a099681440
13690a25ba9802
142d6c854a9452
1515c2ed808b0c
hexaea6ef42930

12002000120112 has 80 divisors (see below), whose sum is σ = 32637675697920. Its totient is φ = 3790028908800.

The previous prime is 12002000120111. The next prime is 12002000120147. The reversal of 12002000120112 is 21102100020021.

12002000120112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12002000120111) 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, 60157162 + ... + 60356342.

It is an arithmetic number, because the mean of its divisors is an integer number (407970946224).

Almost surely, 212002000120112 is an apocalyptic number.

12002000120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002000120112 is an abundant number, since it is smaller than the sum of its proper divisors (20635675577808).

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

12002000120112 is a wasteful number, since it uses less digits than its factorization.

12002000120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265282 (or 265276 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002000120112 its reverse (21102100020021), we get a palindrome (33104100140133).

The spelling of 12002000120112 in words is "twelve trillion, two billion, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 66071 132142 198213 199181 264284 396426 398362 528568 597543 792852 796724 1057136 1195086 1255349 1585704 1593448 2390172 2510698 3171408 3186896 3766047 3784439 4780344 5021396 7532094 7568878 9560688 10042792 11353317 15064188 15137756 20085584 22706634 30128376 30275512 45413268 60256752 60551024 90826536 181653072 13160087851 26320175702 39480263553 52640351404 78960527106 105280702808 157921054212 210561405616 250041669169 315842108424 500083338338 631684216848 750125007507 1000166676676 1500250015014 2000333353352 3000500030028 4000666706704 6001000060056 12002000120112