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12132912 = 2431122089
BaseRepresentation
bin101110010010…
…001000110000
3211211102020010
4232102020300
511101223122
61112014520
7205061631
oct56221060
924742203
1012132912
116937700
124091440
13268a64c
14187b888
1510e9e0c
hexb92230

12132912 has 60 divisors (see below), whose sum is σ = 34468280. Its totient is φ = 3674880.

The previous prime is 12132907. The next prime is 12132931. The reversal of 12132912 is 21923121.

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, 4764 + ... + 6852.

Almost surely, 212132912 is an apocalyptic number.

12132912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17234140).

12132912 is an abundant number, since it is smaller than the sum of its proper divisors (22335368).

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

12132912 is a wasteful number, since it uses less digits than its factorization.

12132912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2105 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 12132912 is about 3483.2329810106. The cubic root of 12132912 is about 229.7850038805.

It can be divided in two parts, 121 and 32912, that added together give a palindrome (33033).

The spelling of 12132912 in words is "twelve million, one hundred thirty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2089 2904 4178 5808 6267 8356 12534 16712 22979 25068 33424 45958 50136 68937 91916 100272 137874 183832 252769 275748 367664 505538 551496 758307 1011076 1102992 1516614 2022152 3033228 4044304 6066456 12132912