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12320320032 = 2532157272477
BaseRepresentation
bin10110111100101100…
…10010101000100000
31011210121212002211100
423132112102220200
5200213000220112
65354311114400
7614210664246
oct133626225040
934717762740
1012320320032
115252554879
12247a072a00
1312146285c7
1484c3a0796
154c19452dc
hex2de592a20

12320320032 has 72 divisors (see below), whose sum is σ = 35259198156. Its totient is φ = 4080600576.

The previous prime is 12320320027. The next prime is 12320320037. The reversal of 12320320032 is 23002302321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12320320027) and next prime (12320320037).

It can be written as a sum of positive squares in 2 ways, for example, as 12169619856 + 150700176 = 110316^2 + 12276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 12320319987 and 12320320014.

It is not an unprimeable number, because it can be changed into a prime (12320320037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91023 + ... + 181454.

Almost surely, 212320320032 is an apocalyptic number.

12320320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12320320032 is an abundant number, since it is smaller than the sum of its proper divisors (22938878124).

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

12320320032 is a wasteful number, since it uses less digits than its factorization.

12320320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272650 (or 272639 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12320320032 its reverse (23002302321), we get a palindrome (35322622353).

The spelling of 12320320032 in words is "twelve billion, three hundred twenty million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 471 628 942 1256 1413 1884 2512 2826 3768 5024 5652 7536 11304 15072 22608 45216 272477 544954 817431 1089908 1634862 2179816 2452293 3269724 4359632 4904586 6539448 8719264 9809172 13078896 19618344 26157792 39236688 42778889 78473376 85557778 128336667 171115556 256673334 342231112 385010001 513346668 684462224 770020002 1026693336 1368924448 1540040004 2053386672 3080080008 4106773344 6160160016 12320320032