Search a number
-
+
12021012010020 = 22351321811654613
BaseRepresentation
bin1010111011101101110000…
…1001101001010000100100
31120120012022222212210210210
42232323130021221100210
53033423013033310040
641322213210215420
72350326612110646
oct256733411512044
946505288783723
1012021012010020
11391509a98aa42
121421904724570
1369276594b100
142d7b6a45a896
1515ca62941480
hexaeedc269424

12021012010020 has 144 divisors (see below), whose sum is σ = 36467320502592. Its totient is φ = 2957379909120.

The previous prime is 12021012010003. The next prime is 12021012010079. The reversal of 12021012010020 is 2001021012021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12021012009978 and 12021012010005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18036234 + ... + 18690846.

It is an arithmetic number, because the mean of its divisors is an integer number (253245281268).

Almost surely, 212021012010020 is an apocalyptic number.

12021012010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021012010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18233660251296).

12021012010020 is an abundant number, since it is smaller than the sum of its proper divisors (24446308492572).

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

12021012010020 is a wasteful number, since it uses less digits than its factorization.

12021012010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656462 (or 656447 counting only the distinct ones).

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

Adding to 12021012010020 its reverse (2001021012021), we get a palindrome (14022033022041).

The spelling of 12021012010020 in words is "twelve trillion, twenty-one billion, twelve million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 1811 2028 2535 3380 3622 5070 5433 7244 9055 10140 10866 18110 21732 23543 27165 36220 47086 54330 70629 94172 108660 117715 141258 235430 282516 306059 353145 470860 612118 654613 706290 918177 1224236 1309226 1412580 1530295 1836354 1963839 2618452 3060590 3273065 3672708 3927678 4590885 6121180 6546130 7855356 8509969 9181770 9819195 13092260 17019938 18363540 19638390 25529907 34039876 39276780 42549845 51059814 85099690 102119628 110629597 127649535 170199380 221259194 255299070 331888791 442518388 510598140 553147985 663777582 1106295970 1185504143 1327555164 1659443955 2212591940 2371008286 3318887910 3556512429 4742016572 5927520715 6637775820 7113024858 11855041430 14226049716 15411553859 17782562145 23710082860 30823107718 35565124290 46234661577 61646215436 71130248580 77057769295 92469323154 154115538590 184938646308 200350200167 231173307885 308231077180 400700400334 462346615770 601050600501 801400800668 924693231540 1001751000835 1202101201002 2003502001670 2404202402004 3005253002505 4007004003340 6010506005010 12021012010020