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12321232020 = 22325233538431
BaseRepresentation
bin10110111100110011…
…10001010010010100
31011210200120102211200
423132121301102110
5200213213411040
65354342432500
7614221513146
oct133631612224
934720512750
1012321232020
115253017a89
12247a432730
131214887746
1484c55ac96
154c1a75630
hex2de671494

12321232020 has 144 divisors (see below), whose sum is σ = 39114496512. Its totient is φ = 3133532160.

The previous prime is 12321231983. The next prime is 12321232037. The reversal of 12321232020 is 2023212321.

12321232020 is a `hidden beast` number, since 1 + 2 + 321 + 2 + 320 + 20 = 666.

12321232020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12321231984 and 12321232002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457205 + ... + 1465635.

It is an arithmetic number, because the mean of its divisors is an integer number (271628448).

Almost surely, 212321232020 is an apocalyptic number.

12321232020 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 12321232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19557248256).

12321232020 is an abundant number, since it is smaller than the sum of its proper divisors (26793264492).

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

12321232020 is a wasteful number, since it uses less digits than its factorization.

12321232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12321232020 its reverse (2023212321), we get a palindrome (14344444341).

The spelling of 12321232020 in words is "twelve billion, three hundred twenty-one million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 353 414 460 690 706 828 1035 1059 1380 1412 1765 2070 2118 3177 3530 4140 4236 5295 6354 7060 8119 8431 10590 12708 15885 16238 16862 21180 24357 25293 31770 32476 33724 40595 42155 48714 50586 63540 73071 75879 81190 84310 97428 101172 121785 126465 146142 151758 162380 168620 193913 243570 252930 292284 303516 365355 379395 387826 487140 505860 581739 730710 758790 775652 969565 1163478 1461420 1517580 1745217 1939130 2326956 2908695 2976143 3490434 3878260 5817390 5952286 6980868 8726085 8928429 11634780 11904572 14880715 17452170 17856858 26785287 29761430 34904340 35713716 44642145 53570574 59522860 68451289 89284290 107141148 133926435 136902578 178568580 205353867 267852870 273805156 342256445 410707734 535705740 616061601 684512890 821415468 1026769335 1232123202 1369025780 2053538670 2464246404 3080308005 4107077340 6160616010 12321232020