Search a number
-
+
12021011221000 = 235379263578573
BaseRepresentation
bin1010111011101101110000…
…0110101000101000001000
31120120012022221101201110211
42232323130012220220020
53033423012333033000
641322213141250504
72350326602313415
oct256733406505010
946505287351424
1012021011221000
11391509a4a1161
121421904403a34
13692765732c32
142d7b6a2d310c
1515ca628377ba
hexaeedc1a8a08

12021011221000 has 128 divisors (see below), whose sum is σ = 28593589939200. Its totient is φ = 4729478956800.

The previous prime is 12021011220983. The next prime is 12021011221007. The reversal of 12021011221000 is 12211012021.

It is not an unprimeable number, because it can be changed into a prime (12021011221007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20487714 + ... + 21066286.

It is an arithmetic number, because the mean of its divisors is an integer number (223387421400).

Almost surely, 212021011221000 is an apocalyptic number.

12021011221000 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 12021011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296794969600).

12021011221000 is an abundant number, since it is smaller than the sum of its proper divisors (16572578718200).

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

12021011221000 is a wasteful number, since it uses less digits than its factorization.

12021011221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578936 (or 578922 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12021011221000 its reverse (12211012021), we get a palindrome (12033222233021).

The spelling of 12021011221000 in words is "twelve trillion, twenty-one billion, eleven million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 263 316 395 500 526 632 790 1000 1052 1315 1580 1975 2104 2630 3160 3950 5260 6575 7900 9875 10520 13150 15800 19750 20777 26300 32875 39500 41554 52600 65750 79000 83108 103885 131500 166216 207770 263000 415540 519425 578573 831080 1038850 1157146 2077700 2314292 2597125 2892865 4155400 4628584 5194250 5785730 10388500 11571460 14464325 20777000 23142920 28928650 45707267 57857300 72321625 91414534 115714600 144643250 152164699 182829068 228536335 289286500 304329398 365658136 457072670 578573000 608658796 760823495 914145340 1142681675 1217317592 1521646990 1828290680 2285363350 3043293980 3804117475 4570726700 5713408375 6086587960 7608234950 9141453400 11426816750 12021011221 15216469900 19020587375 22853633500 24042022442 30432939800 38041174750 45707267000 48084044884 60105056105 76082349500 96168089768 120210112210 152164699000 240420224420 300525280525 480840448840 601050561050 1202101122100 1502626402625 2404202244200 3005252805250 6010505610500 12021011221000