Search a number
-
+
12120210122020 = 22572111386486443
BaseRepresentation
bin1011000001011111010011…
…0100011010010100100100
31120220200101021122000111221
42300113310310122110210
53042034142242401040
641435540410110124
72360441051130400
oct260276464322444
946820337560457
1012120210122020
113953174705790
121438b89a1b344
1369bc142964c0
142dc89abc0100
1516041b57e74a
hexb05f4d1a524

12120210122020 has 144 divisors (see below), whose sum is σ = 34784155885248. Its totient is φ = 3487133341440.

The previous prime is 12120210121963. The next prime is 12120210122021. The reversal of 12120210122020 is 2022101202121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12120210121985 and 12120210122003.

It is not an unprimeable number, because it can be changed into a prime (12120210122021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43103082 + ... + 43383361.

It is an arithmetic number, because the mean of its divisors is an integer number (241556638092).

Almost surely, 212120210122020 is an apocalyptic number.

12120210122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120210122020 is an abundant number, since it is smaller than the sum of its proper divisors (22663945763228).

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

12120210122020 is a wasteful number, since it uses less digits than its factorization.

12120210122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86486490 (or 86486481 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12120210122020 its reverse (2022101202121), we get a palindrome (14142311324141).

The spelling of 12120210122020 in words is "twelve trillion, one hundred twenty billion, two hundred ten million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 86486443 172972886 345945772 432432215 605405101 864864430 951350873 1124323759 1210810202 1729728860 1902701746 2248647518 2421620404 3027025505 3805403492 4237835707 4497295036 4756754365 5621618795 6054051010 6659456111 7870266313 8475671414 9513508730 11243237590 12108102020 12367561349 13318912222 15740532626 16951342828 19027017460 21189178535 22486475180 24735122698 26637824444 31481065252 33297280555 39351331565 42378357070 46616192777 49470245396 55091864191 61837806745 66594561110 78702663130 84756714140 86572929443 93232385554 110183728382 123675613490 133189122220 157405326260 173145858886 186464771108 220367456764 233080963885 247351226980 275459320955 346291717772 432864647215 466161927770 550918641910 606010506101 865729294430 932323855540 1101837283820 1212021012202 1731458588860 2424042024404 3030052530505 6060105061010 12120210122020