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121320100000 = 255511110291
BaseRepresentation
bin111000011111100111…
…1011101000010100000
3102121011000011122021001
41300333033131002200
53441430421200000
6131422250441344
711523265556311
oct1607717350240
9377130148231
10121320100000
11474a7040860
121b619a33254
13b59583c128
145c2c7ba608
153250d1646a
hex1c3f3dd0a0

121320100000 has 144 divisors (see below), whose sum is σ = 325685217312. Its totient is φ = 44116000000.

The previous prime is 121320099913. The next prime is 121320100019. The reversal of 121320100000 is 1023121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 121320100000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044855 + ... + 1155145.

It is an arithmetic number, because the mean of its divisors is an integer number (2261702898).

Almost surely, 2121320100000 is an apocalyptic number.

121320100000 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 121320100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162842608656).

121320100000 is an abundant number, since it is smaller than the sum of its proper divisors (204365117312).

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

121320100000 is an equidigital number, since it uses as much as digits as its factorization.

121320100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110337 (or 110309 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 121320100000 its reverse (1023121), we get a palindrome (121321123121).

The spelling of 121320100000 in words is "one hundred twenty-one billion, three hundred twenty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 110291 137500 220000 220582 275000 441164 550000 551455 882328 1100000 1102910 1213201 1764656 2205820 2426402 2757275 3529312 4411640 4852804 5514550 6066005 8823280 9705608 11029100 12132010 13786375 17646560 19411216 22058200 24264020 27572750 30330025 38822432 44116400 48528040 55145500 60660050 68931875 88232800 97056080 110291000 121320100 137863750 151650125 194112160 220582000 242640200 275727500 303300250 344659375 441164000 485280400 551455000 606600500 689318750 758250625 970560800 1102910000 1213201000 1378637500 1516501250 2205820000 2426402000 2757275000 3033002500 3791253125 4852804000 5514550000 6066005000 7582506250 11029100000 12132010000 15165012500 24264020000 30330025000 60660050000 121320100000