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12133200132 = 2232521646897
BaseRepresentation
bin10110100110011000…
…11111000100000100
31011022120202102120200
423103030133010010
5144322044401012
65323544330500
7606446333214
oct132314370404
934276672520
1012133200132
115166969929
122427473a30
1311b4930a81
148315b2244
154b02d23dc
hex2d331f104

12133200132 has 36 divisors (see below), whose sum is σ = 30728948796. Its totient is φ = 4036631040.

The previous prime is 12133200109. The next prime is 12133200161. The reversal of 12133200132 is 23100233121.

12133200132 is a `hidden beast` number, since 1 + 213 + 320 + 0 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3660734016 + 8472466116 = 60504^2 + 92046^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304693 + ... + 342204.

It is an arithmetic number, because the mean of its divisors is an integer number (853581911).

Almost surely, 212133200132 is an apocalyptic number.

12133200132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12133200132 is an abundant number, since it is smaller than the sum of its proper divisors (18595748664).

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

12133200132 is a wasteful number, since it uses less digits than its factorization.

12133200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647428 (or 647423 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12133200132 its reverse (23100233121), we get a palindrome (35233433253).

The spelling of 12133200132 in words is "twelve billion, one hundred thirty-three million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 521 1042 1563 2084 3126 4689 6252 9378 18756 646897 1293794 1940691 2587588 3881382 5822073 7762764 11644146 23288292 337033337 674066674 1011100011 1348133348 2022200022 3033300033 4044400044 6066600066 12133200132