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12003213312 = 2153313567
BaseRepresentation
bin10110010110111001…
…01000000000000000
31010222112011102012000
423023130220000000
5144040310311222
65303022304000
7603310425666
oct131334500000
933875142160
1012003213312
1150aa556902
1223aba28000
131193a1b2ac
1481c216c36
154a3ba79ac
hex2cb728000

12003213312 has 128 divisors (see below), whose sum is σ = 35567155200. Its totient is φ = 4000776192.

The previous prime is 12003213301. The next prime is 12003213331. The reversal of 12003213312 is 21331230021.

12003213312 is a `hidden beast` number, since 12 + 0 + 0 + 321 + 331 + 2 = 666.

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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877953 + ... + 891519.

It is an arithmetic number, because the mean of its divisors is an integer number (277868400).

Almost surely, 212003213312 is an apocalyptic number.

12003213312 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 12003213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783577600).

12003213312 is an abundant number, since it is smaller than the sum of its proper divisors (23563941888).

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

12003213312 is an frugal number, since it uses more digits than its factorization.

12003213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13606 (or 13572 counting only the distinct ones).

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

Adding to 12003213312 its reverse (21331230021), we get a palindrome (33334443333).

The spelling of 12003213312 in words is "twelve billion, three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13567 13824 16384 18432 24576 27134 27648 32768 36864 40701 49152 54268 55296 73728 81402 98304 108536 110592 122103 147456 162804 217072 221184 244206 294912 325608 366309 434144 442368 488412 651216 732618 868288 884736 976824 1302432 1465236 1736576 1953648 2604864 2930472 3473152 3907296 5209728 5860944 6946304 7814592 10419456 11721888 13892608 15629184 20838912 23443776 27785216 31258368 41677824 46887552 55570432 62516736 83355648 93775104 111140864 125033472 166711296 187550208 222281728 250066944 333422592 375100416 444563456 500133888 666845184 750200832 1000267776 1333690368 1500401664 2000535552 3000803328 4001071104 6001606656 12003213312