Search a number
-
+
12001111221120 = 27357892939823
BaseRepresentation
bin1010111010100011100111…
…1110001010001110000000
31120111021222002000222121020
42232220321332022032000
53033111233433033440
641305122343225440
72346023503152150
oct256507176121600
946437862028536
1012001111221120
11390770846376a
121419a8ba48280
1369091399bb88
142d6bdd3dc760
1515c29a7713d0
hexaea39f8a380

12001111221120 has 128 divisors (see below), whose sum is σ = 43718333783040. Its totient is φ = 2743111133184.

The previous prime is 12001111221101. The next prime is 12001111221149. The reversal of 12001111221120 is 2112211110021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12001111221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446456472 + ... + 446483351.

It is an arithmetic number, because the mean of its divisors is an integer number (341549482680).

Almost surely, 212001111221120 is an apocalyptic number.

12001111221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001111221120 is an abundant number, since it is smaller than the sum of its proper divisors (31717222561920).

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

12001111221120 is an equidigital number, since it uses as much as digits as its factorization.

12001111221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892939852 (or 892939840 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12001111221120 its reverse (2112211110021), we get a palindrome (14113322331141).

The spelling of 12001111221120 in words is "twelve trillion, one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 892939823 1785879646 2678819469 3571759292 4464699115 5357638938 6250578761 7143518584 8929398230 10715277876 12501157522 13394097345 14287037168 17858796460 18751736283 21430555752 25002315044 26788194690 28574074336 31252893805 35717592920 37503472566 42861111504 50004630088 53576389380 57148148672 62505787610 71435185840 75006945132 85722223008 93758681415 100009260176 107152778760 114296297344 125011575220 142870371680 150013890264 171444446016 187517362830 200018520352 214305557520 250023150440 285740743360 300027780528 342888892032 375034725660 400037040704 428611115040 500046300880 571481486720 600055561056 750069451320 800074081408 857222230080 1000092601760 1200111122112 1500138902640 1714444460160 2000185203520 2400222244224 3000277805280 4000370407040 6000555610560 12001111221120