Search a number
-
+
11212121000120 = 235477990783233
BaseRepresentation
bin1010001100101000011001…
…1111010100100010111000
31110200212102222201222010012
42203022012133110202320
52432144410434000440
635502435520441052
72235022545012155
oct243120637244270
943625388658105
1011212121000120
113633041006987
121310b98779188
136343b5991c41
142aa95337122c
151469bdd00e65
hexa32867d48b8

11212121000120 has 128 divisors (see below), whose sum is σ = 26119228723200. Its totient is φ = 4329033486336.

The previous prime is 11212121000107. The next prime is 11212121000141. The reversal of 11212121000120 is 2100012121211.

It is a junction number, because it is equal to n+sod(n) for n = 11212121000095 and 11212121000104.

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, 134666024 + ... + 134749256.

It is an arithmetic number, because the mean of its divisors is an integer number (204056474400).

Almost surely, 211212121000120 is an apocalyptic number.

11212121000120 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 11212121000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13059614361600).

11212121000120 is an abundant number, since it is smaller than the sum of its proper divisors (14907107723080).

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

11212121000120 is a wasteful number, since it uses less digits than its factorization.

11212121000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84277 (or 84273 counting only the distinct ones).

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

Adding to 11212121000120 its reverse (2100012121211), we get a palindrome (13312133121331).

The spelling of 11212121000120 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 47 79 94 158 188 235 316 376 395 470 632 790 907 940 1580 1814 1880 3160 3628 3713 4535 7256 7426 9070 14852 18140 18565 29704 36280 37130 42629 71653 74260 83233 85258 143306 148520 166466 170516 213145 286612 332932 341032 358265 416165 426290 573224 665864 716530 832330 852580 1433060 1664660 1705160 2866120 3329320 3367691 3911951 6575407 6735382 7823902 13150814 13470764 15647804 16838455 19559755 26301628 26941528 31295608 32877035 33676910 39119510 52603256 65754070 67353820 75492331 78239020 131508140 134707640 150984662 156478040 263016280 301969324 309044129 377461655 603938648 618088258 754923310 1236176516 1509846620 1545220645 2472353032 3019693240 3090441290 3548139557 5963894149 6180882580 7096279114 11927788298 12361765160 14192558228 17740697785 23855576596 28385116456 29819470745 35481395570 47711153192 59638941490 70962791140 119277882980 141925582280 238555765960 280303025003 560606050006 1121212100012 1401515125015 2242424200024 2803030250030 5606060500060 11212121000120