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12042334600 = 235260211673
BaseRepresentation
bin10110011011100011…
…10111000110001000
31011002020202222111121
423031301313012020
5144130314201400
65310541005024
7604264104142
oct131561670610
934066688447
1012042334600
11511a64724a
122400b53774
13119bb67b9a
148234bbc92
154a733421a
hex2cdc77188

12042334600 has 24 divisors (see below), whose sum is σ = 27998428410. Its totient is φ = 4816933760.

The previous prime is 12042334583. The next prime is 12042334607. The reversal of 12042334600 is 643324021.

12042334600 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 3 ways, for example, as 9366755524 + 2675579076 = 96782^2 + 51726^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12042334607) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 30105637 + ... + 30106036.

Almost surely, 212042334600 is an apocalyptic number.

12042334600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042334600 is an abundant number, since it is smaller than the sum of its proper divisors (15956093810).

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

12042334600 is a wasteful number, since it uses less digits than its factorization.

12042334600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60211689 (or 60211680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 12042334600 its reverse (643324021), we get a palindrome (12685658621).

The spelling of 12042334600 in words is "twelve billion, forty-two million, three hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60211673 120423346 240846692 301058365 481693384 602116730 1204233460 1505291825 2408466920 3010583650 6021167300 12042334600