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12312002120 = 23511231216601
BaseRepresentation
bin10110111011101101…
…00011111001001000
31011210001012111210112
423131312203321020
5200203333031440
65353412533452
7614050201625
oct133566437110
934701174715
1012312002120
115248893470
122477321288
1312129a5572
1484b23734c
154c0d50965
hex2ddda3e48

12312002120 has 64 divisors (see below), whose sum is σ = 31534323840. Its totient is φ = 4282432000.

The previous prime is 12312002063. The next prime is 12312002137. The reversal of 12312002120 is 2120021321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12312002095 and 12312002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598181 + ... + 618420.

It is an arithmetic number, because the mean of its divisors is an integer number (492723810).

Almost surely, 212312002120 is an apocalyptic number.

12312002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312002120 is an abundant number, since it is smaller than the sum of its proper divisors (19222321720).

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

12312002120 is a wasteful number, since it uses less digits than its factorization.

12312002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216646 (or 1216642 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12312002120 its reverse (2120021321), we get a palindrome (14432023441).

The spelling of 12312002120 in words is "twelve billion, three hundred twelve million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 1216601 2433202 4866404 6083005 9732808 12166010 13382611 24332020 26765222 27981823 48664040 53530444 55963646 66913055 107060888 111927292 133826110 139909115 223854584 267652220 279818230 307800053 535304440 559636460 615600106 1119272920 1231200212 1539000265 2462400424 3078000530 6156001060 12312002120