Search a number
-
+
12020111001200 = 2452349499172553
BaseRepresentation
bin1010111011101010011001…
…1100100100011001110000
31120120010000012110211001202
42232322212130210121300
53033414141404014300
641321543542350332
72350265361501041
oct256724634443160
946503005424052
1012020111001200
113914778329755
1214216b2a2b3a8
136926510904b3
142d7ac291a8c8
1515ca0d7b5ad5
hexaeea6724670

12020111001200 has 120 divisors (see below), whose sum is σ = 29019268950000. Its totient is φ = 4784632289280.

The previous prime is 12020111001191. The next prime is 12020111001253. The reversal of 12020111001200 is 210011102021.

12020111001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120201110012003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69574124 + ... + 69746676.

It is an arithmetic number, because the mean of its divisors is an integer number (241827241250).

Almost surely, 212020111001200 is an apocalyptic number.

12020111001200 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 12020111001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509634475000).

12020111001200 is an abundant number, since it is smaller than the sum of its proper divisors (16999157948800).

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

12020111001200 is a wasteful number, since it uses less digits than its factorization.

12020111001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173419 (or 173408 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12020111001200 its reverse (210011102021), we get a palindrome (12230122103221).

The spelling of 12020111001200 in words is "twelve trillion, twenty billion, one hundred eleven million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 349 400 499 698 998 1396 1745 1996 2495 2792 3490 3992 4990 5584 6980 7984 8725 9980 12475 13960 17450 19960 24950 27920 34900 39920 49900 69800 99800 139600 172553 174151 199600 345106 348302 690212 696604 862765 870755 1380424 1393208 1725530 1741510 2760848 2786416 3451060 3483020 4313825 4353775 6902120 6966040 8627650 8707550 13804240 13932080 17255300 17415100 34510600 34830200 60220997 69021200 69660400 86103947 120441994 172207894 240883988 301104985 344415788 430519735 481767976 602209970 688831576 861039470 963535952 1204419940 1377663152 1505524925 1722078940 2152598675 2408839880 3011049850 3444157880 4305197350 4817679760 6022099700 6888315760 8610394700 12044199400 17220789400 24088398800 30050277503 34441578800 60100555006 120201110012 150251387515 240402220024 300502775030 480804440048 601005550060 751256937575 1202011100120 1502513875150 2404022200240 3005027750300 6010055500600 12020111001200