Search a number
-
+
1220323112120 = 235761421169709
BaseRepresentation
bin10001110000100000111…
…011001111010010111000
311022122212102020011201202
4101300200323033102320
5124443210204041440
62332335251233332
7154110513206540
oct21604073172270
94278772204652
101220323112120
11430599646022
1217860b8a8848
138b0cabc3238
14430c76bc320
1521b23ecd615
hex11c20ecf4b8

1220323112120 has 128 divisors (see below), whose sum is σ = 3197010556800. Its totient is φ = 410557593600.

The previous prime is 1220323112119. The next prime is 1220323112147. The reversal of 1220323112120 is 212113230221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1220323112092 and 1220323112101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7105826 + ... + 7275534.

It is an arithmetic number, because the mean of its divisors is an integer number (24976644975).

Almost surely, 21220323112120 is an apocalyptic number.

1220323112120 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 1220323112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598505278400).

1220323112120 is an abundant number, since it is smaller than the sum of its proper divisors (1976687444680).

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

1220323112120 is a wasteful number, since it uses less digits than its factorization.

1220323112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170209 (or 170205 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1220323112120 its reverse (212113230221), we get a palindrome (1432436342341).

The spelling of 1220323112120 in words is "one trillion, two hundred twenty billion, three hundred twenty-three million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 421 427 488 610 842 854 1220 1684 1708 2105 2135 2440 2947 3368 3416 4210 4270 5894 8420 8540 11788 14735 16840 17080 23576 25681 29470 51362 58940 102724 117880 128405 169709 179767 205448 256810 339418 359534 513620 678836 719068 848545 898835 1027240 1187963 1357672 1438136 1697090 1797670 2375926 3394180 3595340 4751852 5939815 6788360 7190680 9503704 10352249 11879630 20704498 23759260 41408996 47518520 51761245 71447489 72465743 82817992 103522490 142894978 144931486 207044980 285789956 289862972 357237445 362328715 414089960 500132423 571579912 579725944 714474890 724657430 1000264846 1428949780 1449314860 2000529692 2500662115 2857899560 2898629720 4001059384 4358296829 5001324230 8716593658 10002648460 17433187316 20005296920 21791484145 30508077803 34866374632 43582968290 61016155606 87165936580 122032311212 152540389015 174331873160 244064622424 305080778030 610161556060 1220323112120