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12003302013312 = 273311008341903
BaseRepresentation
bin1010111010101011110010…
…0011010111100110000000
31120111111121202101202111210
42232222330203113212000
53033130230303411222
641310124003410120
72346132004451331
oct256527443274600
946444552352453
1012003302013312
113908632074325
12141a3a1683940
13690ba282840c
142d6d6a360288
1515c377c6ed0c
hexaeabc8d7980

12003302013312 has 64 divisors (see below), whose sum is σ = 32912279746560. Its totient is φ = 3872032903680.

The previous prime is 12003302013293. The next prime is 12003302013349. The reversal of 12003302013312 is 21331020330021.

12003302013312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504159048 + ... + 504182855.

It is an arithmetic number, because the mean of its divisors is an integer number (514254371040).

Almost surely, 212003302013312 is an apocalyptic number.

12003302013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12003302013312 is an abundant number, since it is smaller than the sum of its proper divisors (20908977733248).

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

12003302013312 is a wasteful number, since it uses less digits than its factorization.

12003302013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008341951 (or 1008341939 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12003302013312 its reverse (21331020330021), we get a palindrome (33334322343333).

The spelling of 12003302013312 in words is "twelve trillion, three billion, three hundred two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 1008341903 2016683806 3025025709 4033367612 6050051418 8066735224 12100102836 16133470448 24200205672 31258598993 32266940896 48400411344 62517197986 64533881792 93775796979 96800822688 125034395972 129067763584 187551593958 193601645376 250068791944 375103187916 387203290752 500137583888 750206375832 1000275167776 1500412751664 2000550335552 3000825503328 4001100671104 6001651006656 12003302013312