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12011233320 = 23325124926713
BaseRepresentation
bin10110010111110110…
…01110000000101000
31011000002020212120100
423023323032000220
5144044333431240
65303510225400
7603435540642
oct131373160050
934002225510
1012011233320
115104034409
1223b2655260
131195598868
1481d303892
154a473de30
hex2cbece028

12011233320 has 96 divisors (see below), whose sum is σ = 39069225000. Its totient is φ = 3200311296.

The previous prime is 12011233277. The next prime is 12011233343. The reversal of 12011233320 is 2333211021.

It can be written as a sum of positive squares in 4 ways, for example, as 11582494884 + 428738436 = 107622^2 + 20706^2 .

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 = 12011233293 and 12011233302.

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, 436284 + ... + 462996.

Almost surely, 212011233320 is an apocalyptic number.

12011233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011233320 is an abundant number, since it is smaller than the sum of its proper divisors (27057991680).

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

12011233320 is a wasteful number, since it uses less digits than its factorization.

12011233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27979 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12011233320 its reverse (2333211021), we get a palindrome (14344444341).

The spelling of 12011233320 in words is "twelve billion, eleven million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1249 2498 3747 4996 6245 7494 9992 11241 12490 14988 18735 22482 24980 26713 29976 37470 44964 49960 53426 56205 74940 80139 89928 106852 112410 133565 149880 160278 213704 224820 240417 267130 320556 400695 449640 480834 534260 641112 801390 961668 1068520 1202085 1602780 1923336 2404170 3205560 4808340 9616680 33364537 66729074 100093611 133458148 166822685 200187222 266916296 300280833 333645370 400374444 500468055 600561666 667290740 800748888 1000936110 1201123332 1334581480 1501404165 2001872220 2402246664 3002808330 4003744440 6005616660 12011233320