Search a number
-
+
12021022121010 = 2357196149389959
BaseRepresentation
bin1010111011101101110011…
…0000001101110000110010
31120120012100200220111110220
42232323130300031300302
53033423023130333020
641322214211033510
72350330064052030
oct256733460156062
946505320814426
1012021022121010
1139150a5666531
121421907b9b896
13692767a7b346
142d7b6b92d550
1515ca6378c240
hexaeedcc0dc32

12021022121010 has 128 divisors (see below), whose sum is σ = 35276285030400. Its totient is φ = 2560375422720.

The previous prime is 12021022120969. The next prime is 12021022121057. The reversal of 12021022121010 is 1012122012021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24451590 + ... + 24938369.

It is an arithmetic number, because the mean of its divisors is an integer number (275595976800).

Almost surely, 212021022121010 is an apocalyptic number.

12021022121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12021022121010 is an abundant number, since it is smaller than the sum of its proper divisors (23255262909390).

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

12021022121010 is a wasteful number, since it uses less digits than its factorization.

12021022121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49390056.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12021022121010 its reverse (1012122012021), we get a palindrome (13033144133031).

The spelling of 12021022121010 in words is "twelve trillion, twenty-one billion, twenty-two million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 61 70 95 105 114 122 133 183 190 210 266 285 305 366 399 427 570 610 665 798 854 915 1159 1281 1330 1830 1995 2135 2318 2562 3477 3990 4270 5795 6405 6954 8113 11590 12810 16226 17385 24339 34770 40565 48678 81130 121695 243390 49389959 98779918 148169877 246949795 296339754 345729713 493899590 691459426 740849385 938409221 1037189139 1481698770 1728648565 1876818442 2074378278 2815227663 3012787499 3457297130 4692046105 5185945695 5630455326 6025574998 6568864547 9038362497 9384092210 10371891390 13137729094 14076138315 15063937495 18076724994 19706593641 21089512493 28152276630 30127874990 32844322735 39413187282 42179024986 45191812485 57242962481 63268537479 65688645470 90383624970 98532968205 105447562465 114485924962 126537074958 171728887443 197065936410 210895124930 286214812405 316342687395 343457774886 400700737367 572429624810 632685374790 801401474734 858644437215 1202102212101 1717288874430 2003503686835 2404204424202 4007007373670 6010511060505 12021022121010