Search a number
-
+
12003012213000 = 233539883404837
BaseRepresentation
bin1010111010101010101101…
…0001110111100100001000
31120111110212120002101012220
42232222223101313210020
53033124132111304000
641310035132134040
72346121555262424
oct256525321674410
946443776071186
1012003012213000
1139084a3527036
12141a320607320
13690b5778c043
142d6d3da83b84
1515c35c5c81a0
hexaeaab477908

12003012213000 has 128 divisors (see below), whose sum is σ = 37453279893120. Its totient is φ = 3200471481600.

The previous prime is 12003012212993. The next prime is 12003012213109. The reversal of 12003012213000 is 31221030021.

12003012213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29446582 + ... + 29851418.

It is an arithmetic number, because the mean of its divisors is an integer number (292603749165).

Almost surely, 212003012213000 is an apocalyptic number.

12003012213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003012213000 is an abundant number, since it is smaller than the sum of its proper divisors (25450267680120).

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

12003012213000 is a wasteful number, since it uses less digits than its factorization.

12003012213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414744 (or 414730 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12003012213000 its reverse (31221030021), we get a palindrome (12034233243021).

The spelling of 12003012213000 in words is "twelve trillion, three billion, twelve million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 9883 19766 29649 39532 49415 59298 79064 98830 118596 148245 197660 237192 247075 296490 395320 404837 494150 592980 741225 809674 988300 1185960 1214511 1235375 1482450 1619348 1976600 2024185 2429022 2470750 2964900 3238696 3706125 4048370 4858044 4941500 5929800 6072555 7412250 8096740 9716088 9883000 10120925 12145110 14824500 16193480 20241850 24290220 29649000 30362775 40483700 48580440 50604625 60725550 80967400 101209250 121451100 151813875 202418500 242902200 303627750 404837000 607255500 1214511000 4001004071 8002008142 12003012213 16004016284 20005020355 24006024426 32008032568 40010040710 48012048852 60015061065 80020081420 96024097704 100025101775 120030122130 160040162840 200050203550 240060244260 300075305325 400100407100 480120488520 500125508875 600150610650 800200814200 1000251017750 1200301221300 1500376526625 2000502035500 2400602442600 3000753053250 4001004071000 6001506106500 12003012213000