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12000021301332 = 22323747593248837
BaseRepresentation
bin1010111010011111100100…
…0000011100100001010100
31120111012011010011022201200
42232213321000130201110
53033102020423120312
641304422250352500
72345654500041351
oct256477100344124
946435133138650
1012000021301332
1139071a9203909
121419826a2b730
1369079bc3a41c
142d6b38765628
1515c234c2c0dc
hexae9f901c854

12000021301332 has 144 divisors (see below), whose sum is σ = 32355307595520. Its totient is φ = 3744530401536.

The previous prime is 12000021301283. The next prime is 12000021301421. The reversal of 12000021301332 is 23310312000021.

12000021301332 is a `hidden beast` number, since 1 + 200 + 0 + 0 + 2 + 130 + 1 + 332 = 666.

It is a super-2 number, since 2×120000213013322 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2069218 + ... + 5318054.

It is an arithmetic number, because the mean of its divisors is an integer number (224689636080).

Almost surely, 212000021301332 is an apocalyptic number.

12000021301332 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 12000021301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177653797760).

12000021301332 is an abundant number, since it is smaller than the sum of its proper divisors (20355286294188).

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

12000021301332 is a wasteful number, since it uses less digits than its factorization.

12000021301332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248990 (or 3248985 counting only the distinct ones).

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

Adding to 12000021301332 its reverse (23310312000021), we get a palindrome (35310333301353).

The spelling of 12000021301332 in words is "twelve trillion, twenty-one million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 59 74 94 111 118 141 148 177 188 222 236 282 333 354 423 444 531 564 666 708 846 1062 1332 1692 1739 2124 2183 2773 3478 4366 5217 5546 6549 6956 8319 8732 10434 11092 13098 15651 16638 19647 20868 24957 26196 31302 33276 39294 49914 62604 78588 99828 102601 205202 307803 410404 615606 923409 1231212 1846818 3248837 3693636 6497674 9746511 12995348 19493022 29239533 38986044 58479066 116958132 120206969 152695339 191681383 240413938 305390678 360620907 383362766 458086017 480827876 575044149 610781356 721241814 766725532 916172034 1081862721 1150088298 1374258051 1442483628 1725132447 1832344068 2163725442 2300176596 2748516102 3450264894 4327450884 5497032204 5649727543 6900529788 7092211171 9009025001 11299455086 14184422342 16949182629 18018050002 21276633513 22598910172 27027075003 28368844684 33898365258 36036100004 42553267026 50847547887 54054150006 63829900539 67796730516 81081225009 85106534052 101695095774 108108300012 127659801078 162162450018 203390191548 255319602156 324324900036 333333925037 666667850074 1000001775111 1333335700148 2000003550222 3000005325333 4000007100444 6000010650666 12000021301332