Search a number
-
+
12021200122002 = 2329733318293449
BaseRepresentation
bin1010111011101110011101…
…0111001111000010010010
31120120012211002211212221020
42232323213113033002102
53033423404212401002
641322244010140310
72350334355043251
oct256734727170222
946505732755836
1012021200122002
113915187093295
121421957721696
13692795902386
142d7b87426798
1515ca741ed2bc
hexaeee75cf092

12021200122002 has 128 divisors (see below), whose sum is σ = 25326168480000. Its totient is φ = 3798674288640.

The previous prime is 12021200121989. The next prime is 12021200122013. The reversal of 12021200122002 is 20022100212021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3485414374 + ... + 3485417822.

It is an arithmetic number, because the mean of its divisors is an integer number (197860691250).

Almost surely, 212021200122002 is an apocalyptic number.

12021200122002 is an abundant number, since it is smaller than the sum of its proper divisors (13304968357998).

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

12021200122002 is a wasteful number, since it uses less digits than its factorization.

12021200122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12021200122002 its reverse (20022100212021), we get a palindrome (32043300334023).

The spelling of 12021200122002 in words is "twelve trillion, twenty-one billion, two hundred million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 29 58 73 87 146 174 219 331 438 662 829 993 1658 1986 2117 2487 3449 4234 4974 6351 6898 9599 10347 12702 19198 20694 24041 24163 28797 48082 48326 57594 60517 72123 72489 100021 121034 144246 144978 181551 200042 251777 274399 300063 363102 503554 548798 600126 700727 755331 823197 1141619 1401454 1510662 1646394 1754993 2102181 2283238 2859221 3424857 3509986 4204362 5264979 5718442 6849714 7301533 7957571 8577663 10529958 14603066 15915142 17155326 20031127 21904599 23872713 33106951 40062254 43809198 47745426 60093381 66213902 82917409 83338187 99320853 120186762 165834818 166676374 198641706 208723133 248752227 250014561 417446266 497504454 500029122 580902683 626169399 946402151 1161805366 1252338798 1742708049 1892804302 2416807423 2839206453 3485416098 4833614846 5678412906 6052970857 7250422269 12105941714 14500844538 18158912571 27445662379 36317825142 54891324758 69087357023 82336987137 138174714046 164673974274 207262071069 414524142138 2003533353667 4007066707334 6010600061001 12021200122002