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12342404000 = 25533085601
BaseRepresentation
bin10110111111010101…
…00010001110100000
31011212011102002100002
423133222202032200
5200234123412000
65400420315132
7614566463063
oct133752421640
934764362302
1012342404000
115263a68893
122485542aa8
13121908b444
148512ac8da
154c38588d5
hex2dfaa23a0

12342404000 has 48 divisors (see below), whose sum is σ = 30325296456. Its totient is φ = 4936960000.

The previous prime is 12342403987. The next prime is 12342404023. The reversal of 12342404000 is 40424321.

12342404000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7398064144 + 4944339856 = 86012^2 + 70316^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1538801 + ... + 1546800.

Almost surely, 212342404000 is an apocalyptic number.

12342404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342404000 is an abundant number, since it is smaller than the sum of its proper divisors (17982892456).

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

12342404000 is an equidigital number, since it uses as much as digits as its factorization.

12342404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085626 (or 3085608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12342404000 its reverse (40424321), we get a palindrome (12382828321).

The spelling of 12342404000 in words is "twelve billion, three hundred forty-two million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 3085601 6171202 12342404 15428005 24684808 30856010 49369616 61712020 77140025 98739232 123424040 154280050 246848080 308560100 385700125 493696160 617120200 771400250 1234240400 1542800500 2468480800 3085601000 6171202000 12342404000