Search a number
-
+
12222003000 = 233539914111
BaseRepresentation
bin10110110000111110…
…01111011100111000
31011112202212002012210
423120133033130320
5200012313044000
65340435535120
7611605211544
oct133037173470
934482762183
1012222003000
115202002829
12245115a4a0
1311ca153b4c
1483d2caa24
154b7ec4350
hex2d87cf738

12222003000 has 128 divisors (see below), whose sum is σ = 38180413440. Its totient is φ = 3255120000.

The previous prime is 12222002963. The next prime is 12222003011. The reversal of 12222003000 is 30022221.

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

It is a congruent number.

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, 2970945 + ... + 2975055.

It is an arithmetic number, because the mean of its divisors is an integer number (298284480).

Almost surely, 212222003000 is an apocalyptic number.

12222003000 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 12222003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19090206720).

12222003000 is an abundant number, since it is smaller than the sum of its proper divisors (25958410440).

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

12222003000 is a wasteful number, since it uses less digits than its factorization.

12222003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12222003000 its reverse (30022221), we get a palindrome (12252025221).

The spelling of 12222003000 in words is "twelve billion, two hundred twenty-two million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 991 1000 1500 1982 2973 3000 3964 4111 4955 5946 7928 8222 9910 11892 12333 14865 16444 19820 20555 23784 24666 24775 29730 32888 39640 41110 49332 49550 59460 61665 74325 82220 98664 99100 102775 118920 123330 123875 148650 164440 198200 205550 246660 247750 297300 308325 371625 411100 493320 495500 513875 594600 616650 743250 822200 991000 1027750 1233300 1486500 1541625 2055500 2466600 2973000 3083250 4074001 4111000 6166500 8148002 12222003 12333000 16296004 20370005 24444006 32592008 40740010 48888012 61110015 81480020 97776024 101850025 122220030 162960040 203700050 244440060 305550075 407400100 488880120 509250125 611100150 814800200 1018500250 1222200300 1527750375 2037000500 2444400600 3055500750 4074001000 6111001500 12222003000