Search a number
-
+
12030101200 = 2452134749223
BaseRepresentation
bin10110011010000110…
…01100011011010000
31011001101202110102201
423031003030123100
5144114201214300
65305422452544
7604055113225
oct131503143320
934041673381
1012030101200
1151137510a7
1223b8a34154
1311994738a0
14821a1594c
154a621966a
hex2cd0cc6d0

12030101200 has 120 divisors (see below), whose sum is σ = 31788465408. Its totient is φ = 4347287040.

The previous prime is 12030101189. The next prime is 12030101201. The reversal of 12030101200 is 210103021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219789 + ... + 269011.

Almost surely, 212030101200 is an apocalyptic number.

12030101200 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 12030101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894232704).

12030101200 is an abundant number, since it is smaller than the sum of its proper divisors (19758364208).

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

12030101200 is a wasteful number, since it uses less digits than its factorization.

12030101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49301 (or 49290 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12030101200 its reverse (210103021), we get a palindrome (12240204221).

The spelling of 12030101200 in words is "twelve billion, thirty million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 47 50 52 65 80 94 100 104 130 188 200 208 235 260 325 376 400 470 520 611 650 752 940 1040 1175 1222 1300 1880 2350 2444 2600 3055 3760 4700 4888 5200 6110 9400 9776 12220 15275 18800 24440 30550 48880 49223 61100 98446 122200 196892 244400 246115 393784 492230 639899 787568 984460 1230575 1279798 1968920 2313481 2461150 2559596 3199495 3937840 4626962 4922300 5119192 6398990 9253924 9844600 10238384 11567405 12797980 15997475 18507848 19689200 23134810 25595960 30075253 31994950 37015696 46269620 51191920 57837025 60150506 63989900 92539240 115674050 120301012 127979800 150376265 185078480 231348100 240602024 255959600 300752530 462696200 481204048 601505060 751881325 925392400 1203010120 1503762650 2406020240 3007525300 6015050600 12030101200