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12200123000 = 2353135317707
BaseRepresentation
bin10110101110010111…
…10001101001111000
31011111020200110111102
423113023301221320
5144441212414000
65334334550532
7611221222502
oct132713615170
934436613442
1012200123000
1151a0718a8a
122445968448
1311c5762ac0
1483a432d72
154b61013d5
hex2d72f1a78

12200123000 has 128 divisors (see below), whose sum is σ = 31326160320. Its totient is φ = 4419417600.

The previous prime is 12200122993. The next prime is 12200123009. The reversal of 12200123000 is 32100221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200123009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680147 + ... + 697853.

Almost surely, 212200123000 is an apocalyptic number.

12200123000 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 12200123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663080160).

12200123000 is an abundant number, since it is smaller than the sum of its proper divisors (19126037320).

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

12200123000 is a wasteful number, since it uses less digits than its factorization.

12200123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17794 (or 17780 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12200123000 its reverse (32100221), we get a palindrome (12232223221).

The spelling of 12200123000 in words is "twelve billion, two hundred million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 125 130 200 212 250 260 265 325 424 500 520 530 650 689 1000 1060 1300 1325 1378 1625 2120 2600 2650 2756 3250 3445 5300 5512 6500 6625 6890 10600 13000 13250 13780 17225 17707 26500 27560 34450 35414 53000 68900 70828 86125 88535 137800 141656 172250 177070 230191 344500 354140 442675 460382 689000 708280 885350 920764 938471 1150955 1770700 1841528 1876942 2213375 2301910 3541400 3753884 4426750 4603820 4692355 5754775 7507768 8853500 9207640 9384710 11509550 12200123 17707000 18769420 23019100 23461775 24400246 28773875 37538840 46038200 46923550 48800492 57547750 61000615 93847100 97600984 115095500 117308875 122001230 187694200 230191000 234617750 244002460 305003075 469235500 488004920 610006150 938471000 1220012300 1525015375 2440024600 3050030750 6100061500 12200123000