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12003120132312 = 23317677388111197
BaseRepresentation
bin1010111010101011000110…
…1101100011000011011000
31120111111011002011020200110
42232222301231203003120
53033124342223213222
641310053545204320
72346124335500121
oct256526155430330
946444132136613
1012003120132312
113908549437451
12141a3507906a0
13690b73c4631a
142d6d50137048
1515c366ce430c
hexaeab1b630d8

12003120132312 has 128 divisors (see below), whose sum is σ = 31830938504640. Its totient is φ = 3758817853440.

The previous prime is 12003120132307. The next prime is 12003120132319. The reversal of 12003120132312 is 21323102130021.

12003120132312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003120132319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071988698 + ... + 1071999894.

Almost surely, 212003120132312 is an apocalyptic number.

12003120132312 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 12003120132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15915469252320).

12003120132312 is an abundant number, since it is smaller than the sum of its proper divisors (19827818372328).

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

12003120132312 is a wasteful number, since it uses less digits than its factorization.

12003120132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15781 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12003120132312 its reverse (21323102130021), we get a palindrome (33326222262333).

The spelling of 12003120132312 in words is "twelve trillion, three billion, one hundred twenty million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 677 1354 2031 2708 3881 4062 5416 7762 8124 11197 11509 11643 15524 16248 22394 23018 23286 31048 33591 34527 44788 46036 46572 65977 67182 69054 89576 92072 93144 131954 134364 138108 190349 197931 263908 268728 276216 380698 395862 527816 571047 761396 791724 1142094 1522792 1583448 2284188 2627437 4568376 5254874 7580369 7882311 10509748 15160738 15764622 21019496 22741107 30321476 31529244 43455557 44666429 45482214 60642952 63058488 86911114 89332858 90964428 128866273 130366671 133999287 173822228 178665716 181928856 257732546 260733342 267998574 347644456 357331432 386598819 515465092 521466684 535997148 738744469 773197638 1030930184 1042933368 1071994296 1477488938 1546395276 2216233407 2954977876 3092790552 4432466814 5909955752 8864933628 17729867256 29419412089 58838824178 88258236267 117677648356 176516472534 235355296712 353032945068 500130005513 706065890136 1000260011026 1500390016539 2000520022052 3000780033078 4001040044104 6001560066156 12003120132312