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12020001120 = 2532510381041
BaseRepresentation
bin10110011000111001…
…01010100101100000
31011000200202022201200
423030130222211200
5144104110013440
65304422201200
7603603216021
oct131434524540
934020668650
1012020001120
115108a82826
1223b5583200
1311973485ca
14820546c48
154a53c1c30
hex2cc72a960

12020001120 has 144 divisors (see below), whose sum is σ = 41417000352. Its totient is φ = 3174174720.

The previous prime is 12020001109. The next prime is 12020001121. The reversal of 12020001120 is 2110002021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020001121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107800 + ... + 188840.

It is an arithmetic number, because the mean of its divisors is an integer number (287618058).

Almost surely, 212020001120 is an apocalyptic number.

12020001120 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 12020001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20708500176).

12020001120 is an abundant number, since it is smaller than the sum of its proper divisors (29396999232).

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

12020001120 is a wasteful number, since it uses less digits than its factorization.

12020001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81165 (or 81154 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12020001120 its reverse (2110002021), we get a palindrome (14130003141).

Subtracting from 12020001120 its reverse (2110002021), we obtain a palindrome (9909999099).

The spelling of 12020001120 in words is "twelve billion, twenty million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 103 120 144 160 180 206 240 288 309 360 412 480 515 618 720 824 927 1030 1236 1440 1545 1648 1854 2060 2472 3090 3296 3708 4120 4635 4944 6180 7416 8240 9270 9888 12360 14832 16480 18540 24720 29664 37080 49440 74160 81041 148320 162082 243123 324164 405205 486246 648328 729369 810410 972492 1215615 1296656 1458738 1620820 1944984 2431230 2593312 2917476 3241640 3646845 3889968 4862460 5834952 6483280 7293690 7779936 8347223 9724920 11669904 12966560 14587380 16694446 19449840 23339808 25041669 29174760 33388892 38899680 41736115 50083338 58349520 66777784 75125007 83472230 100166676 116699040 125208345 133555568 150250014 166944460 200333352 250416690 267111136 300500028 333888920 375625035 400666704 500833380 601000056 667777840 751250070 801333408 1001666760 1202000112 1335555680 1502500140 2003333520 2404000224 3005000280 4006667040 6010000560 12020001120