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12132012032 = 21272318397
BaseRepresentation
bin10110100110001111…
…11101000000000000
31011022111112001210222
423103013331000000
5144321243341112
65323503042212
7606433254320
oct132307750000
934274461728
1012132012032
115166228228
122426ba0368
1311b460605a
14831383280
154b014a372
hex2d31fd000

12132012032 has 104 divisors (see below), whose sum is σ = 28934019456. Its totient is φ = 4973101056.

The previous prime is 12132012019. The next prime is 12132012041. The reversal of 12132012032 is 23021023121.

It is a self number, because there is not a number n which added to its sum of digits gives 12132012032.

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, 650258 + ... + 668654.

Almost surely, 212132012032 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 12132012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467009728).

12132012032 is an abundant number, since it is smaller than the sum of its proper divisors (16802007424).

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

12132012032 is an equidigital number, since it uses as much as digits as its factorization.

12132012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18451 (or 18429 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12132012032 its reverse (23021023121), we get a palindrome (35153035153).

The spelling of 12132012032 in words is "twelve billion, one hundred thirty-two million, twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 644 736 896 1024 1288 1472 1792 2048 2576 2944 3584 4096 5152 5888 7168 10304 11776 14336 18397 20608 23552 28672 36794 41216 47104 73588 82432 94208 128779 147176 164864 257558 294352 329728 423131 515116 588704 659456 846262 1030232 1177408 1692524 2060464 2354816 2961917 3385048 4120928 4709632 5923834 6770096 8241856 9419264 11847668 13540192 16483712 18838528 23695336 27080384 32967424 37677056 47390672 54160768 65934848 75354112 94781344 108321536 131869696 189562688 216643072 263739392 379125376 433286144 527478784 758250752 866572288 1516501504 1733144576 3033003008 6066006016 12132012032