Search a number
-
+
1200223211220 = 22325115691065331
BaseRepresentation
bin10001011101110010111…
…000001100111011010100
311020201222121201102012200
4101131302320030323110
5124131024120224340
62315212552444500
7152466435652425
oct21356270147324
94221877642180
101200223211220
11423014792a80
121747403a9730
138924690ac57
144213c02d64c
15213495cc330
hex11772e0ced4

1200223211220 has 144 divisors (see below), whose sum is σ = 3978631500480. Its totient is φ = 290451571200.

The previous prime is 1200223211183. The next prime is 1200223211237. The reversal of 1200223211220 is 221123220021.

1200223211220 is a `hidden beast` number, since 1 + 200 + 2 + 232 + 11 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1200223211193 and 1200223211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593955 + ... + 1659285.

It is an arithmetic number, because the mean of its divisors is an integer number (27629385420).

Almost surely, 21200223211220 is an apocalyptic number.

1200223211220 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 1200223211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989315750240).

1200223211220 is an abundant number, since it is smaller than the sum of its proper divisors (2778408289260).

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

1200223211220 is a wasteful number, since it uses less digits than its factorization.

1200223211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065926 (or 1065921 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1200223211220 its reverse (221123220021), we get a palindrome (1421346431241).

The spelling of 1200223211220 in words is "one trillion, two hundred billion, two hundred twenty-three million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 569 660 990 1138 1707 1980 2276 2845 3414 5121 5690 6259 6828 8535 10242 11380 12518 17070 18777 20484 25036 25605 31295 34140 37554 51210 56331 62590 75108 93885 102420 112662 125180 187770 225324 281655 375540 563310 1065331 1126620 2130662 3195993 4261324 5326655 6391986 9587979 10653310 11718641 12783972 15979965 19175958 21306620 23437282 31959930 35155923 38351916 46874564 47939895 58593205 63919860 70311846 95879790 105467769 117186410 140623692 175779615 191759580 210935538 234372820 351559230 421871076 527338845 606173339 703118460 1054677690 1212346678 1818520017 2109355380 2424693356 3030866695 3637040034 5455560051 6061733390 6667906729 7274080068 9092600085 10911120102 12123466780 13335813458 18185200170 20003720187 21822240204 26671626916 27277800255 33339533645 36370400340 40007440374 54555600510 60011160561 66679067290 80014880748 100018600935 109111201020 120022321122 133358134580 200037201870 240044642244 300055802805 400074403740 600111605610 1200223211220