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12000132 = 2232333337
BaseRepresentation
bin101101110001…
…101110000100
3211120200002100
4231301232010
511033001012
61105112100
7203666544
oct55615604
924520070
1012000132
116856971
124028630
132642091
141845324
1510c08dc
hexb71b84

12000132 has 18 divisors (see below), whose sum is σ = 30333758. Its totient is φ = 4000032.

The previous prime is 12000127. The next prime is 12000133. The reversal of 12000132 is 23100021.

It is a happy number.

12000132 is digitally balanced in base 2 and base 4, because in such bases 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., 9585216 + 2414916 = 3096^2 + 1554^2 .

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 (9).

12000132 is a modest number, since divided by 132 gives 12 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12000133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166633 + ... + 166704.

Almost surely, 212000132 is an apocalyptic number.

12000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000132 is an abundant number, since it is smaller than the sum of its proper divisors (18333626).

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

12000132 is a wasteful number, since it uses less digits than its factorization.

12000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333347 (or 333342 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12000132 is about 3464.1206676442. The cubic root of 12000132 is about 228.9436879647.

Adding to 12000132 its reverse (23100021), we get a palindrome (35100153).

The spelling of 12000132 in words is "twelve million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 333337 666674 1000011 1333348 2000022 3000033 4000044 6000066 12000132