Search a number
-
+
12012120122112 = 283311157987691
BaseRepresentation
bin1010111011001100101000…
…1001110010001100000000
31120112100101022020002201000
42232303022021302030000
53033301310222401422
641314143010212000
72346563351236335
oct256631211621400
946470338202630
1012012120122112
113911347720a50
121420042884000
136919796c1a86
142d756554898c
1515c6e1ebccac
hexaecca272300

12012120122112 has 144 divisors (see below), whose sum is σ = 38751221093760. Its totient is φ = 3640036377600.

The previous prime is 12012120122099. The next prime is 12012120122147. The reversal of 12012120122112 is 21122102121021.

12012120122112 is a `hidden beast` number, since 120 + 121 + 201 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 78917814 + ... + 79069877.

It is an arithmetic number, because the mean of its divisors is an integer number (269105702040).

Almost surely, 212012120122112 is an apocalyptic number.

12012120122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12012120122112 is an abundant number, since it is smaller than the sum of its proper divisors (26739100971648).

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

12012120122112 is a wasteful number, since it uses less digits than its factorization.

12012120122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157987727 (or 157987707 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12012120122112 its reverse (21122102121021), we get a palindrome (33134222243133).

The spelling of 12012120122112 in words is "twelve trillion, twelve billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 76032 157987691 315975382 473963073 631950764 947926146 1263901528 1421889219 1737864601 1895852292 2527803056 2843778438 3475729202 3791704584 4265667657 5055606112 5213593803 5687556876 6951458404 7583409168 8531335314 10111212224 10427187606 11375113752 13902916808 15166818336 15640781409 17062670628 20222424448 20854375212 22750227504 27805833616 30333636672 31281562818 34125341256 40444848896 41708750424 45500455008 46922344227 55611667232 60667273344 62563125636 68250682512 83417500848 91000910016 93844688454 111223334464 121334546688 125126251272 136501365024 166835001696 182001820032 187689376908 222446668928 250252502544 273002730048 333670003392 364003640064 375378753816 444893337856 500505005088 546005460096 667340006784 750757507632 1001010010176 1092010920192 1334680013568 1501515015264 2002020020352 3003030030528 4004040040704 6006060061056 12012120122112