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1201322012320 = 255232121311701
BaseRepresentation
bin10001011110110100010…
…111110010111010100000
311020211211012022021221201
4101132310113302322200
5124140301413343240
62315514003530544
7152535610423243
oct21366427627240
94224735267851
101201322012320
11423528a59561
121749a8389a54
138939045c011
1442203d3925a
15213b0cc7d9a
hex117b45f2ea0

1201322012320 has 144 divisors (see below), whose sum is σ = 2969584663752. Its totient is φ = 459218073600.

The previous prime is 1201322012299. The next prime is 1201322012351. The reversal of 1201322012320 is 232102231021.

It can be written as a sum of positive squares in 4 ways, for example, as 813048462864 + 388273549456 = 901692^2 + 623116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102662470 + ... + 102674170.

Almost surely, 21201322012320 is an apocalyptic number.

1201322012320 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 1201322012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484792331876).

1201322012320 is an abundant number, since it is smaller than the sum of its proper divisors (1768262651432).

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

1201322012320 is a wasteful number, since it uses less digits than its factorization.

1201322012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12975 (or 12944 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1201322012320 its reverse (232102231021), we get a palindrome (1433424243341).

The spelling of 1201322012320 in words is "one trillion, two hundred one billion, three hundred twenty-two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 529 736 920 1058 1213 1840 2116 2426 2645 3680 4232 4852 5290 6065 8464 9704 10580 11701 12130 16928 19408 21160 23402 24260 27899 38816 42320 46804 48520 55798 58505 84640 93608 97040 111596 117010 139495 187216 194080 223192 234020 269123 278990 374432 446384 468040 538246 557980 641677 892768 936080 1076492 1115960 1283354 1345615 1872160 2152984 2231920 2566708 2691230 3208385 4305968 4463840 5133416 5382460 6189829 6416770 8611936 10266832 10764920 12379658 12833540 14193313 20533664 21529840 24759316 25667080 28386626 30949145 43059680 49518632 51334160 56773252 61898290 70966565 99037264 102668320 113546504 123796580 141933130 198074528 227093008 247593160 283866260 326446199 454186016 495186320 567732520 652892398 990372640 1135465040 1305784796 1632230995 2270930080 2611569592 3264461990 5223139184 6528923980 7508262577 10446278368 13057847960 15016525154 26115695920 30033050308 37541312885 52231391840 60066100616 75082625770 120132201232 150165251540 240264402464 300330503080 600661006160 1201322012320