Search a number
-
+
12212321101120 = 26572778847009
BaseRepresentation
bin1011000110110110011100…
…0011111010010101000000
31121020111010122200120120101
42301231213003322111000
53100041313200213440
641550132440052144
72400211462416100
oct261554703722500
947214118616511
1012212321101120
1139892419836a8
1214529b5764054
136a780354ba2a
143031181c5200
15162a0cde169a
hexb1b670fa540

12212321101120 has 84 divisors (see below), whose sum is σ = 33828441032340. Its totient is φ = 4187081515008.

The previous prime is 12212321101091. The next prime is 12212321101129. The reversal of 12212321101120 is 2110112321221.

It can be written as a sum of positive squares in 2 ways, for example, as 5682006620416 + 6530314480704 = 2383696^2 + 2555448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212321101129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389407825 + ... + 389439184.

Almost surely, 212212321101120 is an apocalyptic number.

12212321101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212321101120 is an abundant number, since it is smaller than the sum of its proper divisors (21616119931220).

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

12212321101120 is an equidigital number, since it uses as much as digits as its factorization.

12212321101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778847040 (or 778847023 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 12212321101120 its reverse (2110112321221), we get a palindrome (14322433422341).

It can be divided in two parts, 12212321101 and 120, that added together give a palindrome (12212321221).

The spelling of 12212321101120 in words is "twelve trillion, two hundred twelve billion, three hundred twenty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 15680 778847009 1557694018 3115388036 3894235045 5451929063 6230776072 7788470090 10903858126 12461552144 15576940180 21807716252 24923104288 27259645315 31153880360 38163503441 43615432504 49846208576 54519290630 62307760720 76327006882 87230865008 109038581260 124615521440 152654013764 174461730016 190817517205 218077162520 249231042880 305308027528 348923460032 381635034410 436154325040 610616055056 763270068820 872308650080 1221232110112 1526540137640 1744617300160 2442464220224 3053080275280 6106160550560 12212321101120