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12132216 = 23321671009
BaseRepresentation
bin101110010001…
…111101111000
3211211101021100
4232101331320
511101212331
61112011400
7205056615
oct56217570
924741240
1012132216
116937128
124090b60
13268a235
14187b50c
1510e9ae6
hexb91f78

12132216 has 48 divisors (see below), whose sum is σ = 33087600. Its totient is φ = 4015872.

The previous prime is 12132151. The next prime is 12132217. The reversal of 12132216 is 61223121.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11520 + ... + 12528.

It is an arithmetic number, because the mean of its divisors is an integer number (689325).

Almost surely, 212132216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16543800).

12132216 is an abundant number, since it is smaller than the sum of its proper divisors (20955384).

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

12132216 is a wasteful number, since it uses less digits than its factorization.

12132216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1181 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 12132216 is about 3483.1330723933. The cubic root of 12132216 is about 229.7806099526.

Adding to 12132216 its reverse (61223121), we get a palindrome (73355337).

The spelling of 12132216 in words is "twelve million, one hundred thirty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1009 1336 1503 2004 2018 3006 3027 4008 4036 6012 6054 8072 9081 12024 12108 18162 24216 36324 72648 168503 337006 505509 674012 1011018 1348024 1516527 2022036 3033054 4044072 6066108 12132216