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12131434320 = 2435162131183
BaseRepresentation
bin10110100110001011…
…01111111101010000
31011022110102201100020
423103011233331100
5144321121344240
65323442423440
7606425330115
oct132305577520
934273381306
1012131434320
115165973185
122426961b80
1311b4463105
1483127290c
154b00840d0
hex2d316ff50

12131434320 has 80 divisors (see below), whose sum is σ = 37631853312. Its totient is φ = 3232949760.

The previous prime is 12131434307. The next prime is 12131434327. The reversal of 12131434320 is 2343413121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131434327) by changing a digit.

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, 373449 + ... + 404631.

Almost surely, 212131434320 is an apocalyptic number.

12131434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131434320 is an abundant number, since it is smaller than the sum of its proper divisors (25500418992).

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

12131434320 is a wasteful number, since it uses less digits than its factorization.

12131434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32820 (or 32814 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12131434320 its reverse (2343413121), we get a palindrome (14474847441).

The spelling of 12131434320 in words is "twelve billion, one hundred thirty-one million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1621 3242 4863 6484 8105 9726 12968 16210 19452 24315 25936 31183 32420 38904 48630 62366 64840 77808 93549 97260 124732 129680 155915 187098 194520 249464 311830 374196 389040 467745 498928 623660 748392 935490 1247320 1496784 1870980 2494640 3741960 7483920 50547643 101095286 151642929 202190572 252738215 303285858 404381144 505476430 606571716 758214645 808762288 1010952860 1213143432 1516429290 2021905720 2426286864 3032858580 4043811440 6065717160 12131434320