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12311000220 = 22351959318211
BaseRepresentation
bin10110111011100101…
…01111010010011100
31011202222022121110010
423131302233102130
5200203104001340
65353335243220
7614035526631
oct133562572234
934688277403
1012311000220
115248269752
122476b19510
13121271451c
1484b056188
154c0c03b80
hex2ddcaf49c

12311000220 has 96 divisors (see below), whose sum is σ = 36348238080. Its totient is φ = 3104732160.

The previous prime is 12311000213. The next prime is 12311000227. The reversal of 12311000220 is 2200011321.

It is an interprime number because it is at equal distance from previous prime (12311000213) and next prime (12311000227).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12311000196 and 12311000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311000227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666915 + ... + 685125.

It is an arithmetic number, because the mean of its divisors is an integer number (378627480).

Almost surely, 212311000220 is an apocalyptic number.

12311000220 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 12311000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174119040).

12311000220 is an abundant number, since it is smaller than the sum of its proper divisors (24037237860).

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

12311000220 is a wasteful number, since it uses less digits than its factorization.

12311000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18835 (or 18833 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12311000220 its reverse (2200011321), we get a palindrome (14511011541).

The spelling of 12311000220 in words is "twelve billion, three hundred eleven million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 593 1140 1186 1779 2372 2965 3558 5930 7116 8895 11267 11860 17790 18211 22534 33801 35580 36422 45068 54633 56335 67602 72844 91055 109266 112670 135204 169005 182110 218532 225340 273165 338010 346009 364220 546330 676020 692018 1038027 1092660 1384036 1730045 2076054 3460090 4152108 5190135 6920180 10380270 10799123 20760540 21598246 32397369 43196492 53995615 64794738 107991230 129589476 161986845 205183337 215982460 323973690 410366674 615550011 647947380 820733348 1025916685 1231100022 2051833370 2462200044 3077750055 4103666740 6155500110 12311000220