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12133213312 = 271141673137
BaseRepresentation
bin10110100110011001…
…00010010010000000
31011022120210002122211
423103030202102000
5144322100311222
65323544511504
7606446416513
oct132314422200
934276702584
1012133213312
115166978820
12242747b594
1311b4936a7c
148315b6d7a
154b02d6277
hex2d3322480

12133213312 has 128 divisors (see below), whose sum is σ = 27424111680. Its totient is φ = 5298585600.

The previous prime is 12133213283. The next prime is 12133213321. The reversal of 12133213312 is 21331233121.

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 (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3866208 + ... + 3869344.

Almost surely, 212133213312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13712055840).

12133213312 is an abundant number, since it is smaller than the sum of its proper divisors (15290898368).

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

12133213312 is a wasteful number, since it uses less digits than its factorization.

12133213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3258 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

Adding to 12133213312 its reverse (21331233121), we get a palindrome (33464446433).

The spelling of 12133213312 in words is "twelve billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 67 82 88 128 134 164 176 268 328 352 451 536 656 704 737 902 1072 1312 1408 1474 1804 2144 2624 2747 2948 3137 3608 4288 5248 5494 5896 6274 7216 8576 10988 11792 12548 14432 21976 23584 25096 28864 30217 34507 43952 47168 50192 57728 60434 69014 87904 94336 100384 120868 128617 138028 175808 200768 210179 241736 257234 276056 351616 401536 420358 483472 514468 552112 840716 966944 1028936 1104224 1414787 1681432 1933888 2057872 2208448 2311969 2829574 3362864 3867776 4115744 4416896 4623938 5659148 6725728 8231488 8617339 9247876 11318296 13451456 16462976 17234678 18495752 22636592 26902912 34469356 36991504 45273184 68938712 73983008 90546368 94790729 137877424 147966016 181092736 189581458 275754848 295932032 379162916 551509696 758325832 1103019392 1516651664 3033303328 6066606656 12133213312