Search a number
-
+
12010222211120 = 2457191128780283
BaseRepresentation
bin1010111011000101100100…
…0001110101000000110000
31120112011111000222020021022
42232301121001311000300
53033233413341223440
641313230411315012
72346465334250210
oct256613101650060
946464430866238
1012010222211120
113910563372371
12141b7b314ba68
13691736440013
142d7425466240
1515c630573cb5
hexaec59075030

12010222211120 has 80 divisors (see below), whose sum is σ = 33592501251840. Its totient is φ = 3901064654592.

The previous prime is 12010222211087. The next prime is 12010222211149. The reversal of 12010222211120 is 2111222201021.

It is a tau number, because it is divible by the number of its divisors (80).

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, 564379502 + ... + 564400781.

It is an arithmetic number, because the mean of its divisors is an integer number (419906265648).

Almost surely, 212010222211120 is an apocalyptic number.

12010222211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010222211120 is an abundant number, since it is smaller than the sum of its proper divisors (21582279040720).

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

12010222211120 is a wasteful number, since it uses less digits than its factorization.

12010222211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128780322 (or 1128780316 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12010222211120 its reverse (2111222201021), we get a palindrome (14121444412141).

The spelling of 12010222211120 in words is "twelve trillion, ten billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 1128780283 2257560566 4515121132 5643901415 7901461981 9030242264 11287802830 15802923962 18060484528 21446825377 22575605660 31605847924 39507309905 42893650754 45151211320 63211695848 79014619810 85787301508 90302422640 107234126885 126423391696 150127777639 158029239620 171574603016 214468253770 300255555278 316058479240 343149206032 428936507540 600511110556 632116958480 750638888195 857873015080 1201022221112 1501277776390 1715746030160 2402044442224 3002555552780 6005111105560 12010222211120