Search a number
-
+
12133112200 = 23521143128257
BaseRepresentation
bin10110100110011000…
…01001100110001000
31011022120120221221221
423103030021212020
5144322034042300
65323542411424
7606445515646
oct132314114610
934276527857
1012133112200
115166909860
122427430b74
1311b48cca41
1483158c196
154b02b631a
hex2d3309988

12133112200 has 96 divisors (see below), whose sum is σ = 31489904160. Its totient is φ = 4309401600.

The previous prime is 12133112183. The next prime is 12133112273. The reversal of 12133112200 is 221133121.

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, 30472 + ... + 158728.

It is an arithmetic number, because the mean of its divisors is an integer number (328019835).

Almost surely, 212133112200 is an apocalyptic number.

12133112200 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 12133112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744952080).

12133112200 is an abundant number, since it is smaller than the sum of its proper divisors (19356791960).

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

12133112200 is a wasteful number, since it uses less digits than its factorization.

12133112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128327 (or 128318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12133112200 its reverse (221133121), we get a palindrome (12354245321).

The spelling of 12133112200 in words is "twelve billion, one hundred thirty-three million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 172 200 215 220 275 344 430 440 473 550 860 946 1075 1100 1720 1892 2150 2200 2365 3784 4300 4730 8600 9460 11825 18920 23650 47300 94600 128257 256514 513028 641285 1026056 1282570 1410827 2565140 2821654 3206425 5130280 5515051 5643308 6412850 7054135 11030102 11286616 12825700 14108270 22060204 25651400 27575255 28216540 35270675 44120408 55150510 56433080 60665561 70541350 110301020 121331122 137876275 141082700 220602040 242662244 275752550 282165400 303327805 485324488 551505100 606655610 1103010200 1213311220 1516639025 2426622440 3033278050 6066556100 12133112200