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12111213120 = 263526347969
BaseRepresentation
bin10110100011110001…
…00111001001000000
31011021001101101001220
423101320213021000
5144300432304440
65321441155040
7606061420146
oct132170471100
934231341056
1012111213120
115155511746
12242002ba80
1311b02030c6
1482c6cb596
154ad3dc8d0
hex2d1e27240

12111213120 has 112 divisors (see below), whose sum is σ = 38600115840. Its totient is φ = 3217309696.

The previous prime is 12111213119. The next prime is 12111213137. The reversal of 12111213120 is 2131211121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12111213120.

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, 228496 + ... + 276464.

Almost surely, 212111213120 is an apocalyptic number.

12111213120 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 12111213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19300057920).

12111213120 is an abundant number, since it is smaller than the sum of its proper divisors (26488902720).

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

12111213120 is a wasteful number, since it uses less digits than its factorization.

12111213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48252 (or 48242 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12111213120 its reverse (2131211121), we get a palindrome (14242424241).

The spelling of 12111213120 in words is "twelve billion, one hundred eleven million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 263 320 480 526 789 960 1052 1315 1578 2104 2630 3156 3945 4208 5260 6312 7890 8416 10520 12624 15780 16832 21040 25248 31560 42080 47969 50496 63120 84160 95938 126240 143907 191876 239845 252480 287814 383752 479690 575628 719535 767504 959380 1151256 1439070 1535008 1918760 2302512 2878140 3070016 3837520 4605024 5756280 7675040 9210048 11512560 12615847 15350080 23025120 25231694 37847541 46050240 50463388 63079235 75695082 100926776 126158470 151390164 189237705 201853552 252316940 302780328 378475410 403707104 504633880 605560656 756950820 807414208 1009267760 1211121312 1513901640 2018535520 2422242624 3027803280 4037071040 6055606560 12111213120