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12111531520 = 29511479151
BaseRepresentation
bin10110100011110011…
…10100111000000000
31011021001222112211111
423101321310320000
5144301023002040
65321452053104
7606064214344
oct132171647000
934231875744
1012111531520
115155709990
122420164194
1311b02b4cca
1482c771624
154ad451dea
hex2d1e74e00

12111531520 has 160 divisors (see below), whose sum is σ = 32356786176. Its totient is φ = 4310016000.

The previous prime is 12111531511. The next prime is 12111531533. The reversal of 12111531520 is 2513511121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12111531491 and 12111531500.

It is a congruent 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, 1318945 + ... + 1328095.

Almost surely, 212111531520 is an apocalyptic number.

12111531520 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 12111531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16178393088).

12111531520 is an abundant number, since it is smaller than the sum of its proper divisors (20245254656).

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

12111531520 is an equidigital number, since it uses as much as digits as its factorization.

12111531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The spelling of 12111531520 in words is "twelve billion, one hundred eleven million, five hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 128 160 176 188 220 235 256 320 352 376 440 470 512 517 640 704 752 880 940 1034 1280 1408 1504 1760 1880 2068 2560 2585 2816 3008 3520 3760 4136 5170 5632 6016 7040 7520 8272 9151 10340 12032 14080 15040 16544 18302 20680 24064 28160 30080 33088 36604 41360 45755 60160 66176 73208 82720 91510 100661 120320 132352 146416 165440 183020 201322 264704 292832 330880 366040 402644 430097 503305 585664 661760 732080 805288 860194 1006610 1171328 1323520 1464160 1610576 1720388 2013220 2150485 2342656 2928320 3221152 3440776 4026440 4300970 4685312 4731067 5856640 6442304 6881552 8052880 8601940 9462134 11713280 12884608 13763104 16105760 17203880 18924268 23426560 23655335 25769216 27526208 32211520 34407760 37848536 47310670 51538432 55052416 64423040 68815520 75697072 94621340 110104832 128846080 137631040 151394144 189242680 220209664 257692160 275262080 302788288 378485360 550524160 605576576 756970720 1101048320 1211153152 1513941440 2422306304 3027882880 6055765760 12111531520