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12104202132 = 223211194915683
BaseRepresentation
bin10110100010111011…
…10111011110010100
31011020120012011210200
423101131313132110
5144242133432012
65321031020500
7605645010021
oct132135673624
934216164720
1012104202132
115151563240
12241980a730
1311ab919ba9
1482b7c4548
154ac9a53dc
hex2d1777794

12104202132 has 72 divisors (see below), whose sum is σ = 33397509600. Its totient is φ = 3665824320.

The previous prime is 12104202109. The next prime is 12104202137. The reversal of 12104202132 is 23120240121.

It is a happy number.

12104202132 is a `hidden beast` number, since 1 + 210 + 420 + 2 + 1 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12104202137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 763963 + ... + 779645.

It is an arithmetic number, because the mean of its divisors is an integer number (463854300).

Almost surely, 212104202132 is an apocalyptic number.

12104202132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12104202132 is an abundant number, since it is smaller than the sum of its proper divisors (21293307468).

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

12104202132 is a wasteful number, since it uses less digits than its factorization.

12104202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17653 (or 17648 counting only the distinct ones).

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

Adding to 12104202132 its reverse (23120240121), we get a palindrome (35224442253).

The spelling of 12104202132 in words is "twelve billion, one hundred four million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1949 3898 5847 7796 11694 15683 17541 21439 23388 31366 35082 42878 47049 62732 64317 70164 85756 94098 128634 141147 172513 188196 192951 257268 282294 345026 385902 517539 564588 690052 771804 1035078 1552617 2070156 3105234 6210468 30566167 61132334 91698501 122264668 183397002 275095503 336227837 366794004 550191006 672455674 1008683511 1100382012 1344911348 2017367022 3026050533 4034734044 6052101066 12104202132