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12020404112 = 2419137397727
BaseRepresentation
bin10110011000111100…
…01100111110010000
31011000201111210112022
423030132030332100
5144104210412422
65304434551012
7603606514643
oct131436147620
934021453468
1012020404112
115109228582
1223b5738468
131197459b72
1482060da5a
154a5451342
hex2cc78cf90

12020404112 has 80 divisors (see below), whose sum is σ = 24790496640. Its totient is φ = 5630321664.

The previous prime is 12020404103. The next prime is 12020404147. The reversal of 12020404112 is 21140402021.

12020404112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16533893 + ... + 16534619.

It is an arithmetic number, because the mean of its divisors is an integer number (309881208).

Almost surely, 212020404112 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 12020404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12395248320).

12020404112 is an abundant number, since it is smaller than the sum of its proper divisors (12770092528).

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

12020404112 is a wasteful number, since it uses less digits than its factorization.

12020404112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12020404112 its reverse (21140402021), we get a palindrome (33160806133).

The spelling of 12020404112 in words is "twelve billion, twenty million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 137 152 274 304 397 548 727 794 1096 1454 1588 2192 2603 2908 3176 5206 5816 6352 7543 10412 11632 13813 15086 20824 27626 30172 41648 54389 55252 60344 99599 108778 110504 120688 199198 217556 221008 288619 398396 435112 577238 796792 870224 1033391 1154476 1593584 1892381 2066782 2308952 3784762 4133564 4617904 5483761 7569524 8267128 10967522 15139048 16534256 21935044 30278096 39540803 43870088 79081606 87740176 158163212 316326424 632652848 751275257 1502550514 3005101028 6010202056 12020404112