Search a number
-
+
12010012111220 = 22517283421129641
BaseRepresentation
bin1010111011000100110010…
…0000010111000101110100
31120112010221101122001101112
42232301030200113011310
53033233001100024340
641313153504214152
72346460203366104
oct256611440270564
946463841561345
1012010012111220
113910465811192
12141b75490a358
13691701a5a856
142d74055b5204
1515c61bdc2065
hexaec4c817174

12010012111220 has 96 divisors (see below), whose sum is σ = 26806246137216. Its totient is φ = 4504217702400.

The previous prime is 12010012111219. The next prime is 12010012111243. The reversal of 12010012111220 is 2211121001021.

It is a junction number, because it is equal to n+sod(n) for n = 12010012111195 and 12010012111204.

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, 405167600 + ... + 405197240.

It is an arithmetic number, because the mean of its divisors is an integer number (279231730596).

Almost surely, 212010012111220 is an apocalyptic number.

12010012111220 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 12010012111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403123068608).

12010012111220 is an abundant number, since it is smaller than the sum of its proper divisors (14796234025996).

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

12010012111220 is a wasteful number, since it uses less digits than its factorization.

12010012111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34161 (or 34159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12010012111220 its reverse (2211121001021), we get a palindrome (14221133112241).

The spelling of 12010012111220 in words is "twelve trillion, ten billion, twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 283 340 566 1132 1415 2830 4211 4811 5660 8422 9622 16844 19244 21055 24055 29641 42110 48110 59282 71587 84220 96220 118564 143174 148205 286348 296410 357935 503897 592820 715870 1007794 1191713 1431740 2015588 2383426 2519485 4766852 5038970 5958565 8388403 10077940 11917130 16776806 20259121 23834260 33553612 40518242 41942015 81036484 83884030 101295605 124818251 142602851 167768060 202591210 249636502 285205702 405182420 499273004 570411404 624091255 713014255 1248182510 1426028510 2121910267 2496365020 2852057020 4243820534 8487641068 10609551335 21219102670 35323565033 42438205340 70647130066 141294260132 176617825165 353235650330 600500605561 706471300660 1201001211122 2402002422244 3002503027805 6005006055610 12010012111220