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12004132340 = 2254801125017
BaseRepresentation
bin10110010111000000…
…01000010111110100
31010222120220002212002
423023200020113310
5144041024213330
65303054114432
7603321304244
oct131340102764
933876802762
1012004132340
115100024332
1223b01aba18
131193c806b5
1481c3b5b24
154a3cd9e45
hex2cb8085f4

12004132340 has 24 divisors (see below), whose sum is σ = 25214130312. Its totient is φ = 4800614400.

The previous prime is 12004132319. The next prime is 12004132363. The reversal of 12004132340 is 4323140021.

It can be written as a sum of positive squares in 4 ways, for example, as 73376356 + 11930755984 = 8566^2 + 109228^2 .

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

It is a congruent number.

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, 33512 + ... + 158528.

It is an arithmetic number, because the mean of its divisors is an integer number (1050588763).

Almost surely, 212004132340 is an apocalyptic number.

12004132340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004132340 is an abundant number, since it is smaller than the sum of its proper divisors (13209997972).

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

12004132340 is a wasteful number, since it uses less digits than its factorization.

12004132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129827 (or 129825 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12004132340 its reverse (4323140021), we get a palindrome (16327272361).

The spelling of 12004132340 in words is "twelve billion, four million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 4801 9602 19204 24005 48010 96020 125017 250034 500068 625085 1250170 2500340 600206617 1200413234 2400826468 3001033085 6002066170 12004132340