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12130872 = 2331359659
BaseRepresentation
bin101110010001…
…101000111000
3211211022102120
4232101220320
511101141442
61112001240
7205052655
oct56215070
924738376
1012130872
116936116
124090220
132689740
14187ac2c
1510e94ec
hexb91a38

12130872 has 64 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 3663744.

The previous prime is 12130861. The next prime is 12130879. The reversal of 12130872 is 27803121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130879) 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 15 ways as a sum of consecutive naturals, for example, 18079 + ... + 18737.

It is an arithmetic number, because the mean of its divisors is an integer number (519750).

Almost surely, 212130872 is an apocalyptic number.

12130872 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 12130872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

12130872 is an abundant number, since it is smaller than the sum of its proper divisors (21133128).

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

12130872 is a wasteful number, since it uses less digits than its factorization.

12130872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12130872 is about 3482.9401372978. The cubic root of 12130872 is about 229.7721246508.

Adding to 12130872 its reverse (27803121), we get a palindrome (39933993).

The spelling of 12130872 in words is "twelve million, one hundred thirty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 659 708 767 1318 1416 1534 1977 2301 2636 3068 3954 4602 5272 6136 7908 8567 9204 15816 17134 18408 25701 34268 38881 51402 68536 77762 102804 116643 155524 205608 233286 311048 466572 505453 933144 1010906 1516359 2021812 3032718 4043624 6065436 12130872