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12021301332 = 223237127179397
BaseRepresentation
bin10110011001000011…
…01000000001010100
31011000210012101021200
423030201220001110
5144104423120312
65304510112500
7603620242515
oct131441500124
934023171250
1012021301332
115109790687
1223b5aab730
1311976b2371
148207a4a0c
154a557c0dc
hex2cc868054

12021301332 has 144 divisors (see below), whose sum is σ = 31709583360. Its totient is φ = 3836802816.

The previous prime is 12021301301. The next prime is 12021301333. The reversal of 12021301332 is 23310312021.

12021301332 is a `hidden beast` number, since 1 + 202 + 130 + 1 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021301333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30280158 + ... + 30280554.

It is an arithmetic number, because the mean of its divisors is an integer number (220205440).

Almost surely, 212021301332 is an apocalyptic number.

12021301332 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 12021301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854791680).

12021301332 is an abundant number, since it is smaller than the sum of its proper divisors (19688282028).

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

12021301332 is a wasteful number, since it uses less digits than its factorization.

12021301332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 745 counting only the distinct ones).

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

Adding to 12021301332 its reverse (23310312021), we get a palindrome (35331613353).

The spelling of 12021301332 in words is "twelve billion, twenty-one million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 127 148 179 222 254 333 358 381 397 444 508 537 666 716 762 794 1074 1143 1191 1332 1524 1588 1611 2148 2286 2382 3222 3573 4572 4699 4764 6444 6623 7146 9398 13246 14097 14292 14689 18796 19869 22733 26492 28194 29378 39738 42291 44067 45466 50419 56388 58756 59607 68199 71063 79476 84582 88134 90932 100838 119214 132201 136398 142126 151257 169164 176268 201676 204597 213189 238428 264402 272796 284252 302514 409194 426378 453771 528804 605028 639567 818388 841121 852756 907542 1279134 1682242 1815084 1865503 2523363 2558268 2629331 3364484 3731006 5046726 5258662 5596509 7462012 7570089 7887993 9025001 10093452 10517324 11193018 15140178 15775986 16789527 18050002 22386036 23663979 27075003 30280356 31551972 33579054 36100004 47327958 54150006 67158108 81225009 94655916 108300012 162450018 324900036 333925037 667850074 1001775111 1335700148 2003550222 3005325333 4007100444 6010650666 12021301332