Search a number
-
+
12129588 = 223512479
BaseRepresentation
bin101110010001…
…010100110100
3211211020200000
4232101110310
511101121323
61111551300
7205046142
oct56212464
924736600
1012129588
116935159
12408b530
132688c93
14187a592
1510e8e43
hexb91534

12129588 has 36 divisors (see below), whose sum is σ = 31799040. Its totient is φ = 4042872.

The previous prime is 12129583. The next prime is 12129617. The reversal of 12129588 is 88592121.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12129583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5268 + ... + 7211.

Almost surely, 212129588 is an apocalyptic number.

12129588 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12129588 is an abundant number, since it is smaller than the sum of its proper divisors (19669452).

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

12129588 is a wasteful number, since it uses less digits than its factorization.

12129588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12498 (or 12484 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 12129588 is about 3482.7558053932. The cubic root of 12129588 is about 229.7640175717.

It can be divided in two parts, 12 and 129588, that added together give a square (129600 = 3602).

The spelling of 12129588 in words is "twelve million, one hundred twenty-nine thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 12479 24958 37437 49916 74874 112311 149748 224622 336933 449244 673866 1010799 1347732 2021598 3032397 4043196 6064794 12129588