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12032002120 = 23524110091237
BaseRepresentation
bin10110011010010100…
…11100100001001000
31011001112100001000011
423031022130201020
5144120143031440
65305531321304
7604110221245
oct131512344110
934045301004
1012032002120
11511482a306
1223b95b0234
13119998aba8
14821d8c5cc
154a64929ea
hex2cd29c848

12032002120 has 64 divisors (see below), whose sum is σ = 27233276400. Its totient is φ = 4784209920.

The previous prime is 12032002117. The next prime is 12032002159. The reversal of 12032002120 is 2120023021.

It can be written as a sum of positive squares in 8 ways, for example, as 7163591044 + 4868411076 = 84638^2 + 69774^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12032002120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9726142 + ... + 9727378.

Almost surely, 212032002120 is an apocalyptic number.

12032002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032002120 is an abundant number, since it is smaller than the sum of its proper divisors (15201274280).

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

12032002120 is a wasteful number, since it uses less digits than its factorization.

12032002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12032002120 its reverse (2120023021), we get a palindrome (14152025141).

The spelling of 12032002120 in words is "twelve billion, thirty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1009 1205 1237 1928 2018 2410 2474 4036 4820 4948 5045 6185 8072 9640 9896 10090 12370 20180 24740 40360 49480 243169 298117 486338 596234 972676 1192468 1215845 1248133 1490585 1945352 2384936 2431690 2496266 2981170 4863380 4992532 5962340 6240665 9726760 9985064 11924680 12481330 24962660 49925320 300800053 601600106 1203200212 1504000265 2406400424 3008000530 6016001060 12032002120