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12012033312 = 2532367113647
BaseRepresentation
bin10110010111111100…
…10001010100100000
31011000010202111221200
423023332101110200
5144100040031222
65303535321200
7603445412166
oct131376212440
934003674850
1012012033312
115104530464
1223b2980200
1311957b8a26
1481d471236
154a484aeac
hex2cbf91520

12012033312 has 72 divisors (see below), whose sum is σ = 34252598016. Its totient is φ = 3993065856.

The previous prime is 12012033259. The next prime is 12012033329. The reversal of 12012033312 is 21333021021.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48873 + ... + 162519.

It is an arithmetic number, because the mean of its divisors is an integer number (475730528).

Almost surely, 212012033312 is an apocalyptic number.

12012033312 is a gapful number since it is divisible by the number (12) 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 12012033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17126299008).

12012033312 is an abundant number, since it is smaller than the sum of its proper divisors (22240564704).

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

12012033312 is a wasteful number, since it uses less digits than its factorization.

12012033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114030 (or 114019 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12012033312 its reverse (21333021021), we get a palindrome (33345054333).

The spelling of 12012033312 in words is "twelve billion, twelve million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 367 734 1101 1468 2202 2936 3303 4404 5872 6606 8808 11744 13212 17616 26424 35232 52848 105696 113647 227294 340941 454588 681882 909176 1022823 1363764 1818352 2045646 2727528 3636704 4091292 5455056 8182584 10910112 16365168 32730336 41708449 83416898 125125347 166833796 250250694 333667592 375376041 500501388 667335184 750752082 1001002776 1334670368 1501504164 2002005552 3003008328 4004011104 6006016656 12012033312