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12020211200 = 29522693491
BaseRepresentation
bin10110011000111010…
…11101111000000000
31011000201010222220102
423030131131320000
5144104133224300
65304430501532
7603605052344
oct131435357000
934021128812
1012020211200
115109106648
1223b56648a8
1311973c010a
1482059d624
154a54140d5
hex2cc75de00

12020211200 has 120 divisors (see below), whose sum is σ = 29900284920. Its totient is φ = 4788838400.

The previous prime is 12020211197. The next prime is 12020211211. The reversal of 12020211200 is 211202021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3441455 + ... + 3444945.

It is an arithmetic number, because the mean of its divisors is an integer number (249169041).

Almost surely, 212020211200 is an apocalyptic number.

12020211200 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 12020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950142460).

12020211200 is an abundant number, since it is smaller than the sum of its proper divisors (17880073720).

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

12020211200 is an equidigital number, since it uses as much as digits as its factorization.

12020211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12020211200 its reverse (211202021), we get a palindrome (12231413221).

The spelling of 12020211200 in words is "twelve billion, twenty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 269 320 400 512 538 640 800 1076 1280 1345 1600 2152 2560 2690 3200 3491 4304 5380 6400 6725 6982 8608 10760 12800 13450 13964 17216 17455 21520 26900 27928 34432 34910 43040 53800 55856 68864 69820 86080 87275 107600 111712 137728 139640 172160 174550 215200 223424 279280 344320 349100 430400 446848 558560 688640 698200 860800 893696 939079 1117120 1396400 1721600 1787392 1878158 2234240 2792800 3443200 3756316 4468480 4695395 5585600 7512632 8936960 9390790 11171200 15025264 18781580 22342400 23476975 30050528 37563160 44684800 46953950 60101056 75126320 93907900 120202112 150252640 187815800 240404224 300505280 375631600 480808448 601010560 751263200 1202021120 1502526400 2404042240 3005052800 6010105600 12020211200