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12234120 = 2335269379
BaseRepresentation
bin101110101010…
…110110001000
3212000120001120
4232222312020
511112442440
61114115240
7205662663
oct56526610
925016046
1012234120
1169a6748
12411bb20
1326c4732
1418a66da
151119dd0
hexbaad88

12234120 has 64 divisors (see below), whose sum is σ = 36936000. Its totient is φ = 3241728.

The previous prime is 12234097. The next prime is 12234127. The reversal of 12234120 is 2143221.

12234120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12234120.

It is not an unprimeable number, because it can be changed into a prime (12234127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32091 + ... + 32469.

It is an arithmetic number, because the mean of its divisors is an integer number (577125).

Almost surely, 212234120 is an apocalyptic number.

12234120 is a gapful number since it is divisible by the number (10) 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 12234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18468000).

12234120 is an abundant number, since it is smaller than the sum of its proper divisors (24701880).

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

12234120 is a wasteful number, since it uses less digits than its factorization.

12234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12234120 is about 3497.7306928922. The cubic root of 12234120 is about 230.4221610146.

Adding to 12234120 its reverse (2143221), we get a palindrome (14377341).

The spelling of 12234120 in words is "twelve million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 379 538 758 807 1076 1137 1345 1516 1614 1895 2152 2274 2690 3032 3228 3790 4035 4548 5380 5685 6456 7580 8070 9096 10760 11370 15160 16140 22740 32280 45480 101951 203902 305853 407804 509755 611706 815608 1019510 1223412 1529265 2039020 2446824 3058530 4078040 6117060 12234120