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12203131520 = 275198571171
BaseRepresentation
bin10110101110101110…
…10000001010000000
31011111110100022102002
423113113100022000
5144443000202040
65334523243132
7611255622626
oct132727201200
934443308362
1012203131520
1151a2393368
1224469794a8
1311c62772a8
1483a9b7516
154b64e7a15
hex2d75d0280

12203131520 has 128 divisors (see below), whose sum is σ = 30770625600. Its totient is φ = 4615004160.

The previous prime is 12203131519. The next prime is 12203131529. The reversal of 12203131520 is 2513130221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12203131492 and 12203131501.

It is not an unprimeable number, because it can be changed into a prime (12203131529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10420535 + ... + 10421705.

Almost surely, 212203131520 is an apocalyptic number.

12203131520 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 12203131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385312800).

12203131520 is an abundant number, since it is smaller than the sum of its proper divisors (18567494080).

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

12203131520 is a wasteful number, since it uses less digits than its factorization.

12203131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 12203131520 its reverse (2513130221), we get a palindrome (14716261741).

The spelling of 12203131520 in words is "twelve billion, two hundred three million, one hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 857 1171 1216 1520 1714 2342 2432 3040 3428 4285 4684 5855 6080 6856 8570 9368 11710 12160 13712 16283 17140 18736 22249 23420 27424 32566 34280 37472 44498 46840 54848 65132 68560 74944 81415 88996 93680 109696 111245 130264 137120 149888 162830 177992 187360 222490 260528 274240 325660 355984 374720 444980 521056 548480 651320 711968 749440 889960 1003547 1042112 1302640 1423936 1779920 2007094 2084224 2605280 2847872 3559840 4014188 5017735 5210560 7119680 8028376 10035470 10421120 14239360 16056752 19067393 20070940 32113504 38134786 40141880 64227008 76269572 80283760 95336965 128454016 152539144 160567520 190673930 305078288 321135040 381347860 610156576 642270080 762695720 1220313152 1525391440 2440626304 3050782880 6101565760 12203131520