Search a number
-
+
12330121000 = 235343476101
BaseRepresentation
bin10110111101110111…
…01011011100101000
31011211022022001020011
423132323223130220
5200223002333000
65355301141304
7614360204431
oct133673533450
934738261204
1012330121000
11525803944a
1224813ba834
13121667a6b2
1484d7d2488
154c272e2ba
hex2deeeb728

12330121000 has 128 divisors (see below), whose sum is σ = 30156572160. Its totient is φ = 4714080000.

The previous prime is 12330120973. The next prime is 12330121033. The reversal of 12330121000 is 12103321.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2017950 + ... + 2024050.

It is an arithmetic number, because the mean of its divisors is an integer number (235598220).

Almost surely, 212330121000 is an apocalyptic number.

12330121000 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 12330121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078286080).

12330121000 is an abundant number, since it is smaller than the sum of its proper divisors (17826451160).

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

12330121000 is a wasteful number, since it uses less digits than its factorization.

12330121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12330121000 its reverse (12103321), we get a palindrome (12342224321).

The spelling of 12330121000 in words is "twelve billion, three hundred thirty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 47 50 86 94 100 125 172 188 200 215 235 250 344 376 430 470 500 860 940 1000 1075 1175 1720 1880 2021 2150 2350 4042 4300 4700 5375 5875 6101 8084 8600 9400 10105 10750 11750 12202 16168 20210 21500 23500 24404 30505 40420 43000 47000 48808 50525 61010 80840 101050 122020 152525 202100 244040 252625 262343 286747 305050 404200 505250 524686 573494 610100 762625 1010500 1049372 1146988 1220200 1311715 1433735 1525250 2021000 2098744 2293976 2623430 2867470 3050500 5246860 5734940 6101000 6558575 7168675 10493720 11469880 12330121 13117150 14337350 24660242 26234300 28674700 32792875 35843375 49320484 52468600 57349400 61650605 65585750 71686750 98640968 123301210 131171500 143373500 246602420 262343000 286747000 308253025 493204840 616506050 1233012100 1541265125 2466024200 3082530250 6165060500 12330121000