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12011112211220 = 2253189260983431
BaseRepresentation
bin1010111011001000111000…
…0100111010001100010100
31120112020210001122220212222
42232302032010322030110
53033242224211224340
641313455003201512
72346526362156533
oct256621604721424
946466701586788
1012011112211220
11391097a794641
12141ba01216298
13691848944bb5
142d74ab73c31a
1515c6837778b5
hexaec8e13a314

12011112211220 has 96 divisors (see below), whose sum is σ = 26339949619200. Its totient is φ = 4595404492800.

The previous prime is 12011112211213. The next prime is 12011112211243. The reversal of 12011112211220 is 2211221111021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143922905 + ... + 144006335.

It is an arithmetic number, because the mean of its divisors is an integer number (274374475200).

Almost surely, 212011112211220 is an apocalyptic number.

12011112211220 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 12011112211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169974809600).

12011112211220 is an abundant number, since it is smaller than the sum of its proper divisors (14328837407980).

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

12011112211220 is a wasteful number, since it uses less digits than its factorization.

12011112211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86169 (or 86167 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12011112211220 its reverse (2211221111021), we get a palindrome (14222333322241).

The spelling of 12011112211220 in words is "twelve trillion, eleven billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 89 124 155 178 310 356 445 620 890 1780 2609 2759 5218 5518 10436 11036 13045 13795 26090 27590 52180 55180 80879 83431 161758 166862 232201 323516 333724 404395 417155 464402 808790 834310 928804 1161005 1617580 1668620 2322010 2586361 4644020 5172722 7198231 7425359 10345444 12931805 14396462 14850718 25863610 28792924 29701436 35991155 37126795 51727220 71982310 74253590 143964620 148507180 217671479 230186129 435342958 460372258 870685916 920744516 1088357395 1150930645 2176714790 2301861290 4353429580 4603722580 6747815849 13495631698 19372761631 26991263396 33739079245 38745523262 67478158490 77491046524 96863808155 134956316980 193727616310 387455232620 600555610561 1201111221122 2402222442244 3002778052805 6005556105610 12011112211220