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12120135041352 = 2331361363371267
BaseRepresentation
bin1011000001011111000001…
…0110000000000101001000
31120220200012001100112012110
42300113300112000011020
53042034014032310402
641435525124542320
72360436150013332
oct260276026000510
946820161315173
1012120135041352
113953136294548
121438b688519a0
1369bc01869280
142dc890c38452
15160414b9d56c
hexb05f0580148

12120135041352 has 64 divisors (see below), whose sum is σ = 32684365183680. Its totient is φ = 3723188620032.

The previous prime is 12120135041341. The next prime is 12120135041381. The reversal of 12120135041352 is 25314053102121.

It is a happy number.

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, 31494378 + ... + 31876889.

It is an arithmetic number, because the mean of its divisors is an integer number (510693205995).

Almost surely, 212120135041352 is an apocalyptic number.

12120135041352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120135041352 is an abundant number, since it is smaller than the sum of its proper divisors (20564230142328).

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

12120135041352 is a wasteful number, since it uses less digits than its factorization.

12120135041352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63371902 (or 63371898 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 12120135041352 its reverse (25314053102121), we get a palindrome (37434188143473).

The spelling of 12120135041352 in words is "twelve trillion, one hundred twenty billion, one hundred thirty-five million, forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 613 1226 1839 2452 3678 4904 7356 7969 14712 15938 23907 31876 47814 63752 95628 191256 63371267 126742534 190113801 253485068 380227602 506970136 760455204 823826471 1520910408 1647652942 2471479413 3295305884 4942958826 6590611768 9885917652 19771835304 38846586671 77693173342 116539760013 155386346684 233079520026 310772693368 466159040052 505005626723 932318080104 1010011253446 1515016880169 2020022506892 3030033760338 4040045013784 6060067520676 12120135041352