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12132320312 = 237435395063
BaseRepresentation
bin10110100110010010…
…01000010000111000
31011022112002201200202
423103021020100320
5144321333222222
65323513421332
7606436010150
oct132311102070
934275081622
1012132320312
115166418902
12242710a848
1311b46b3478
14831423760
154b01ab892
hex2d3248438

12132320312 has 64 divisors (see below), whose sum is σ = 27104647680. Its totient is φ = 4982769792.

The previous prime is 12132320311. The next prime is 12132320327. The reversal of 12132320312 is 21302323121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132320311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80093 + ... + 175155.

It is an arithmetic number, because the mean of its divisors is an integer number (423510120).

Almost surely, 212132320312 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 12132320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552323840).

12132320312 is an abundant number, since it is smaller than the sum of its proper divisors (14972327368).

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

12132320312 is a wasteful number, since it uses less digits than its factorization.

12132320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95172 (or 95168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12132320312 its reverse (21302323121), we get a palindrome (33434643433).

The spelling of 12132320312 in words is "twelve billion, one hundred thirty-two million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 43 53 56 86 106 172 212 301 344 371 424 602 742 1204 1484 2279 2408 2968 4558 9116 15953 18232 31906 63812 95063 127624 190126 380252 665441 760504 1330882 2661764 4087709 5038339 5323528 8175418 10076678 16350836 20153356 28613963 32701672 35268373 40306712 57227926 70536746 114455852 141073492 216648577 228911704 282146984 433297154 866594308 1516540039 1733188616 3033080078 6066160156 12132320312