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12104441120 = 255831277177
BaseRepresentation
bin10110100010111101…
…10001110100100000
31011020120122022122002
423101132301310200
5144242214103440
65321040103132
7605650023542
oct132136616440
934216568562
1012104441120
115151706852
122419904aa8
1311ab9a18c5
1482b847692
154aca01115
hex2d17b1d20

12104441120 has 96 divisors (see below), whose sum is σ = 29173229568. Its totient is φ = 4745115648.

The previous prime is 12104441119. The next prime is 12104441137. The reversal of 12104441120 is 2114440121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12104441092 and 12104441101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682972 + ... + 1690148.

It is an arithmetic number, because the mean of its divisors is an integer number (303887808).

Almost surely, 212104441120 is an apocalyptic number.

12104441120 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 12104441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586614784).

12104441120 is an abundant number, since it is smaller than the sum of its proper divisors (17068788448).

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

12104441120 is a wasteful number, since it uses less digits than its factorization.

12104441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12104441120 its reverse (2114440121), we get a palindrome (14218881241).

Subtracting from 12104441120 its reverse (2114440121), we obtain a palindrome (9990000999).

The spelling of 12104441120 in words is "twelve billion, one hundred four million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 127 160 166 254 332 415 508 635 664 830 1016 1270 1328 1660 2032 2540 2656 3320 4064 5080 6640 7177 10160 10541 13280 14354 20320 21082 28708 35885 42164 52705 57416 71770 84328 105410 114832 143540 168656 210820 229664 287080 337312 421640 574160 595691 843280 911479 1148320 1191382 1686560 1822958 2382764 2978455 3645916 4557395 4765528 5956910 7291832 9114790 9531056 11913820 14583664 18229580 19062112 23827640 29167328 36459160 47655280 72918320 75652757 95310560 145836640 151305514 302611028 378263785 605222056 756527570 1210444112 1513055140 2420888224 3026110280 6052220560 12104441120