Search a number
-
+
12100203120 = 2435200325171
BaseRepresentation
bin10110100010011101…
…00111001001110000
31011020021200000012010
423101032213021300
5144240122444440
65320405202520
7605566013055
oct132116471160
934207600163
1012100203120
11514a281775
122418400440
1311aab49905
1482b06302c
154ac465580
hex2d13a7270

12100203120 has 80 divisors (see below), whose sum is σ = 37530847872. Its totient is φ = 3224981760.

The previous prime is 12100203109. The next prime is 12100203173. The reversal of 12100203120 is 2130200121.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 12100203096 and 12100203105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468135 + ... + 493305.

Almost surely, 212100203120 is an apocalyptic number.

12100203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100203120 is an abundant number, since it is smaller than the sum of its proper divisors (25430644752).

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

12100203120 is a wasteful number, since it uses less digits than its factorization.

12100203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27190 (or 27184 counting only the distinct ones).

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

Adding to 12100203120 its reverse (2130200121), we get a palindrome (14230403241).

The spelling of 12100203120 in words is "twelve billion, one hundred million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2003 4006 6009 8012 10015 12018 16024 20030 24036 25171 30045 32048 40060 48072 50342 60090 75513 80120 96144 100684 120180 125855 151026 160240 201368 240360 251710 302052 377565 402736 480720 503420 604104 755130 1006840 1208208 1510260 2013680 3020520 6041040 50417513 100835026 151252539 201670052 252087565 302505078 403340104 504175130 605010156 756262695 806680208 1008350260 1210020312 1512525390 2016700520 2420040624 3025050780 4033401040 6050101560 12100203120