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12020144433332 = 2272672539360509
BaseRepresentation
bin1010111011101010100001…
…1100000110100010110100
31120120010002112101100022212
42232322220130012202310
53033414223433331312
641321551135112552
72350266245612600
oct256725034064264
946503075340285
1012020144433332
113914795193812
121421702072758
13692657c97719
142d7ac7140500
1515ca116bb822
hexaeea87068b4

12020144433332 has 72 divisors (see below), whose sum is σ = 24844647592800. Its totient is φ = 5072589821376.

The previous prime is 12020144433329. The next prime is 12020144433373. The reversal of 12020144433332 is 23333444102021.

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, 33161894 + ... + 33522402.

It is an arithmetic number, because the mean of its divisors is an integer number (345064549900).

Almost surely, 212020144433332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020144433332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422323796400).

12020144433332 is an abundant number, since it is smaller than the sum of its proper divisors (12824503159468).

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

12020144433332 is a wasteful number, since it uses less digits than its factorization.

12020144433332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363133 (or 363124 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 12020144433332 its reverse (23333444102021), we get a palindrome (35353588535353).

The spelling of 12020144433332 in words is "twelve trillion, twenty billion, one hundred forty-four million, four hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 469 938 1876 2539 3283 5078 6566 10156 13132 17773 35546 71092 124411 170113 248822 340226 360509 497644 680452 721018 1190791 1442036 2381582 2523563 4763164 5047126 8335537 10094252 16671074 17664941 24154103 33342148 35329882 48308206 70659764 96616412 169078721 338157442 676314884 915332351 1183551047 1830664702 2367102094 3661329404 4734204188 6407326457 12814652914 25629305828 44851285199 61327267517 89702570398 122654535034 179405140796 245309070068 429290872619 858581745238 1717163490476 3005036108333 6010072216666 12020144433332