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12132342312 = 2332367328043
BaseRepresentation
bin10110100110010010…
…01101101000101000
31011022112010211212120
423103021031220220
5144321334423222
65323514111240
7606436131246
oct132311155050
934275124776
1012132342312
115166433392
12242711b520
1311b46c049c
1483142b796
154b01b315c
hex2d324da28

12132342312 has 64 divisors (see below), whose sum is σ = 32122068480. Its totient is φ = 3810535872.

The previous prime is 12132342239. The next prime is 12132342359. The reversal of 12132342312 is 21324323121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 127038 + ... + 201005.

It is an arithmetic number, because the mean of its divisors is an integer number (501907320).

Almost surely, 212132342312 is an apocalyptic number.

12132342312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12132342312 is an abundant number, since it is smaller than the sum of its proper divisors (19989726168).

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

12132342312 is a wasteful number, since it uses less digits than its factorization.

12132342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328142 (or 328138 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 12132342312 its reverse (21324323121), we get a palindrome (33456665433).

The spelling of 12132342312 in words is "twelve billion, one hundred thirty-two million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 67 69 92 134 138 184 201 268 276 402 536 552 804 1541 1608 3082 4623 6164 9246 12328 18492 36984 328043 656086 984129 1312172 1968258 2624344 3936516 7544989 7873032 15089978 21978881 22634967 30179956 43957762 45269934 60359912 65936643 87915524 90539868 131873286 175831048 181079736 263746572 505514263 527493144 1011028526 1516542789 2022057052 3033085578 4044114104 6066171156 12132342312