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12330324032 = 261385717293
BaseRepresentation
bin10110111101111000…
…11101000001000000
31011211022200100201212
423132330131001000
5200223030332112
65355305345252
7614362011365
oct133674350100
934738610655
1012330324032
115258167a44
122481498228
13121671bc30
1484d84646c
154c276e522
hex2def1d040

12330324032 has 56 divisors (see below), whose sum is σ = 26382412056. Its totient is φ = 5683949568.

The previous prime is 12330324007. The next prime is 12330324049. The reversal of 12330324032 is 23042303321.

It can be written as a sum of positive squares in 4 ways, for example, as 323424256 + 12006899776 = 17984^2 + 109576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12330323989 and 12330324007.

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, 704378 + ... + 721670.

It is an arithmetic number, because the mean of its divisors is an integer number (471114501).

Almost surely, 212330324032 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 12330324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191206028).

12330324032 is an abundant number, since it is smaller than the sum of its proper divisors (14052088024).

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

12330324032 is a wasteful number, since it uses less digits than its factorization.

12330324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18175 (or 18165 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 12330324032 its reverse (23042303321), we get a palindrome (35372627353).

The spelling of 12330324032 in words is "twelve billion, three hundred thirty million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 857 1714 3428 6856 11141 13712 17293 22282 27424 34586 44564 54848 69172 89128 138344 178256 224809 276688 356512 449618 553376 713024 899236 1106752 1798472 3596944 7193888 14387776 14820101 29640202 59280404 118560808 192661313 237121616 385322626 474243232 770645252 948486464 1541290504 3082581008 6165162016 12330324032