Search a number
-
+
12112321320 = 23325113058667
BaseRepresentation
bin10110100011111001…
…10101101100101000
31011021010110200020100
423101330311230220
5144301223240240
65321521025400
7606104014101
oct132174655450
934233420210
1012112321320
1151560a9310
122420485260
1311b0500648
1482c8d93a8
154ad55ae30
hex2d1f35b28

12112321320 has 96 divisors (see below), whose sum is σ = 42943698720. Its totient is φ = 2936319360.

The previous prime is 12112321301. The next prime is 12112321327. The reversal of 12112321320 is 2312321121.

12112321320 is a `hidden beast` number, since 1 + 21 + 1 + 2 + 321 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12112321293 and 12112321302.

It is not an unprimeable number, because it can be changed into a prime (12112321327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1525374 + ... + 1533293.

It is an arithmetic number, because the mean of its divisors is an integer number (447330195).

Almost surely, 212112321320 is an apocalyptic number.

12112321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112321320 is an abundant number, since it is smaller than the sum of its proper divisors (30831377400).

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

12112321320 is a wasteful number, since it uses less digits than its factorization.

12112321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058695 (or 3058688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12112321320 its reverse (2312321121), we get a palindrome (14424642441).

The spelling of 12112321320 in words is "twelve billion, one hundred twelve million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3058667 6117334 9176001 12234668 15293335 18352002 24469336 27528003 30586670 33645337 36704004 45880005 55056006 61173340 67290674 73408008 91760010 100936011 110112012 122346680 134581348 137640015 168226685 183520020 201872022 220224024 269162696 275280030 302808033 336453370 367040040 403744044 504680055 550560060 605616066 672906740 807488088 1009360110 1101120120 1211232132 1345813480 1514040165 2018720220 2422464264 3028080330 4037440440 6056160660 12112321320