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12300220404 = 22321133023653
BaseRepresentation
bin10110111010010011…
…00111011111110100
31011202020000221022200
423131021213133310
5200142324023104
65352312224500
7613545101613
oct133511473764
934666027280
1012300220404
11524217670a
12247339b130
13121040ba34
1484984b87a
154becc4b39
hex2dd2677f4

12300220404 has 36 divisors (see below), whose sum is σ = 31367386596. Its totient is φ = 4063788288.

The previous prime is 12300220381. The next prime is 12300220423. The reversal of 12300220404 is 40402200321.

12300220404 is a `hidden beast` number, since 12 + 30 + 0 + 220 + 404 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72284004 + 12227936400 = 8502^2 + 110580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1507759 + ... + 1515894.

Almost surely, 212300220404 is an apocalyptic number.

It is an amenable number.

12300220404 is an abundant number, since it is smaller than the sum of its proper divisors (19067166192).

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

12300220404 is a wasteful number, since it uses less digits than its factorization.

12300220404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023776 (or 3023771 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12300220404 its reverse (40402200321), we get a palindrome (52702420725).

The spelling of 12300220404 in words is "twelve billion, three hundred million, two hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 3023653 6047306 9070959 12094612 18141918 27212877 36283836 54425754 108851508 341672789 683345578 1025018367 1366691156 2050036734 3075055101 4100073468 6150110202 12300220404