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12120120 = 23325131257
BaseRepresentation
bin101110001111…
…000000111000
3211210202200100
4232033000320
511100320440
61111435400
7205006425
oct56170070
924722610
1012120120
116929031
124085b60
13268488c
141876d4c
1510e6230
hexb8f038

12120120 has 96 divisors (see below), whose sum is σ = 39845520. Its totient is φ = 3194880.

The previous prime is 12120091. The next prime is 12120179. The reversal of 12120120 is 2102121.

Adding to 12120120 its reverse (2102121), we get a palindrome (14222241).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47032 + ... + 47288.

Almost surely, 212120120 is an apocalyptic number.

12120120 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 12120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922760).

12120120 is an abundant number, since it is smaller than the sum of its proper divisors (27725400).

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

12120120 is a wasteful number, since it uses less digits than its factorization.

12120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12120120 is about 3481.3962716129. The cubic root of 12120120 is about 229.7042196631.

The spelling of 12120120 in words is "twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 131 180 257 262 360 393 514 524 655 771 786 1028 1048 1179 1285 1310 1542 1572 1965 2056 2313 2358 2570 2620 3084 3144 3855 3930 4626 4716 5140 5240 5895 6168 7710 7860 9252 9432 10280 11565 11790 15420 15720 18504 23130 23580 30840 33667 46260 47160 67334 92520 101001 134668 168335 202002 269336 303003 336670 404004 505005 606006 673340 808008 1010010 1212012 1346680 1515015 2020020 2424024 3030030 4040040 6060060 12120120