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12200312340 = 223457531057
BaseRepresentation
bin10110101110011000…
…11111111000010100
31011111021001002020000
423113030133320110
5144441234443330
65334343011300
7611222641506
oct132714377024
934437032200
1012200312340
1151a0838267
122445a39b30
1311c57cb038
1483a481d76
154b613c560
hex2d731fe14

12200312340 has 60 divisors (see below), whose sum is σ = 38272836756. Its totient is φ = 3253416192.

The previous prime is 12200312323. The next prime is 12200312351. The reversal of 12200312340 is 4321300221.

12200312340 is a `hidden beast` number, since 12 + 2 + 0 + 0 + 312 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9620078724 + 2580233616 = 98082^2 + 50796^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3763909 + ... + 3767148.

Almost surely, 212200312340 is an apocalyptic number.

12200312340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200312340 is an abundant number, since it is smaller than the sum of its proper divisors (26072524416).

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

12200312340 is a wasteful number, since it uses less digits than its factorization.

12200312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7531078 (or 7531067 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12200312340 its reverse (4321300221), we get a palindrome (16521612561).

The spelling of 12200312340 in words is "twelve billion, two hundred million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7531057 15062114 22593171 30124228 37655285 45186342 67779513 75310570 90372684 112965855 135559026 150621140 203338539 225931710 271118052 338897565 406677078 451863420 610015617 677795130 813354156 1016692695 1220031234 1355590260 2033385390 2440062468 3050078085 4066770780 6100156170 12200312340