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12121331300000 = 2555139324101
BaseRepresentation
bin1011000001100011011110…
…1001010111011010100000
31120220210021102022202120022
42300120313221113122200
53042043441303100000
641440243540533012
72360510614030016
oct260306751273240
946823242282508
1012121331300000
11395369a57535a
1214392413b1168
1369c062650820
142dc965a728b6
15160484bea585
hexb0637a576a0

12121331300000 has 144 divisors (see below), whose sum is σ = 32122389207384. Its totient is φ = 4475568000000.

The previous prime is 12121331299969. The next prime is 12121331300009. The reversal of 12121331300000 is 313312121.

It can be written as a sum of positive squares in 12 ways, for example, as 9825391164304 + 2295940135696 = 3134548^2 + 1515236^2 .

It is not an unprimeable number, because it can be changed into a prime (12121331300009) 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, 3362051 + ... + 5962050.

Almost surely, 212121331300000 is an apocalyptic number.

12121331300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121331300000 is an abundant number, since it is smaller than the sum of its proper divisors (20001057907384).

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

12121331300000 is an frugal number, since it uses more digits than its factorization.

12121331300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324149 (or 9324121 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12121331300000 its reverse (313312121), we get a palindrome (12121644612121).

The spelling of 12121331300000 in words is "twelve trillion, one hundred twenty-one billion, three hundred thirty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3125 3250 4000 5000 5200 6250 6500 8125 10000 10400 12500 13000 16250 20000 25000 26000 32500 40625 50000 52000 65000 81250 100000 130000 162500 260000 325000 650000 1300000 9324101 18648202 37296404 46620505 74592808 93241010 121213313 149185616 186482020 233102525 242426626 298371232 372964040 466205050 484853252 606066565 745928080 932410100 969706504 1165512625 1212133130 1491856160 1864820200 1939413008 2331025250 2424266260 3030332825 3729640400 3878826016 4662050500 4848532520 5827563125 6060665650 7459280800 9324101000 9697065040 11655126250 12121331300 15151664125 18648202000 19394130080 23310252500 24242662600 29137815625 30303328250 37296404000 46620505000 48485325200 58275631250 60606656500 75758320625 93241010000 96970650400 116551262500 121213313000 151516641250 186482020000 233102525000 242426626000 303033282500 378791603125 466205050000 484853252000 606066565000 757583206250 932410100000 1212133130000 1515166412500 2424266260000 3030332825000 6060665650000 12121331300000