Search a number
-
+
12022120200 = 2335235955813
BaseRepresentation
bin10110011001001001…
…01111111100001000
31011000211201222120010
423030210233330020
5144110130321300
65304535431520
7603630223056
oct131444577410
934024658503
1012022120200
11510a19a932
1223b62255a0
13119790acbc
148209391d6
154a568ea50
hex2cc92ff08

12022120200 has 96 divisors (see below), whose sum is σ = 37373054400. Its totient is φ = 3196911360.

The previous prime is 12022120189. The next prime is 12022120237. The reversal of 12022120200 is 202122021.

12022120200 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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187494 + ... + 243306.

It is an arithmetic number, because the mean of its divisors is an integer number (389302650).

Almost surely, 212022120200 is an apocalyptic number.

12022120200 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 12022120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686527200).

12022120200 is an abundant number, since it is smaller than the sum of its proper divisors (25350934200).

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

12022120200 is a wasteful number, since it uses less digits than its factorization.

12022120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56191 (or 56182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12022120200 its reverse (202122021), we get a palindrome (12224242221).

The spelling of 12022120200 in words is "twelve billion, twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 359 600 718 1077 1436 1795 2154 2872 3590 4308 5385 7180 8616 8975 10770 14360 17950 21540 26925 35900 43080 53850 55813 71800 107700 111626 167439 215400 223252 279065 334878 446504 558130 669756 837195 1116260 1339512 1395325 1674390 2232520 2790650 3348780 4185975 5581300 6697560 8371950 11162600 16743900 20036867 33487800 40073734 60110601 80147468 100184335 120221202 160294936 200368670 240442404 300553005 400737340 480884808 500921675 601106010 801474680 1001843350 1202212020 1502765025 2003686700 2404424040 3005530050 4007373400 6011060100 12022120200