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12134100 = 22352113677
BaseRepresentation
bin101110010010…
…011011010100
3211211110212010
4232102123110
511101242400
61112024220
7205065246
oct56223324
924743763
1012134100
116938590
124092070
13268b054
14187c096
1510ea450
hexb926d4

12134100 has 72 divisors (see below), whose sum is σ = 38310048. Its totient is φ = 2940800.

The previous prime is 12134081. The next prime is 12134119. The reversal of 12134100 is 143121.

It is a happy number.

12134100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12134081) and next prime (12134119).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462 + ... + 5138.

It is an arithmetic number, because the mean of its divisors is an integer number (532084).

Almost surely, 212134100 is an apocalyptic number.

12134100 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 12134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155024).

12134100 is an abundant number, since it is smaller than the sum of its proper divisors (26175948).

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

12134100 is a wasteful number, since it uses less digits than its factorization.

12134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12134100 is about 3483.4035080651. The cubic root of 12134100 is about 229.7925034727.

Adding to 12134100 its reverse (143121), we get a palindrome (12277221).

The spelling of 12134100 in words is "twelve million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3677 7354 11031 14708 18385 22062 36770 40447 44124 55155 73540 80894 91925 110310 121341 161788 183850 202235 220620 242682 275775 367700 404470 485364 551550 606705 808940 1011175 1103100 1213410 2022350 2426820 3033525 4044700 6067050 12134100