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12131200404 = 2232336977789
BaseRepresentation
bin10110100110001001…
…10110110110010100
31011022102222211110200
423103010312312110
5144321041403104
65323433420500
7606423334131
oct132304666624
934272884420
1012131200404
115165823464
12242686a730
1311b43b07bb
14831211588
154b0039b39
hex2d3136d94

12131200404 has 18 divisors (see below), whose sum is σ = 30664978890. Its totient is φ = 4043733456.

The previous prime is 12131200387. The next prime is 12131200423. The reversal of 12131200404 is 40400213121.

12131200404 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 only one way, i.e., 6938556804 + 5192643600 = 83298^2 + 72060^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 168488859 + ... + 168488930.

Almost surely, 212131200404 is an apocalyptic number.

It is an amenable number.

12131200404 is an abundant number, since it is smaller than the sum of its proper divisors (18533778486).

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

12131200404 is a wasteful number, since it uses less digits than its factorization.

12131200404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336977799 (or 336977794 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12131200404 its reverse (40400213121), we get a palindrome (52531413525).

The spelling of 12131200404 in words is "twelve billion, one hundred thirty-one million, two hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 336977789 673955578 1010933367 1347911156 2021866734 3032800101 4043733468 6065600202 12131200404