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12012232012220 = 22511101990154601
BaseRepresentation
bin1010111011001101000011…
…0100100111000110111100
31120112100200002202201002002
42232303100310213012330
53033302022343342340
641314202044321432
72346566210262506
oct256632064470674
946470602681062
1012012232012220
1139113a48a3710
121420074243278
1369199693953b
142d7576352d76
1515c6ebc20715
hexaecd0d271bc

12012232012220 has 96 divisors (see below), whose sum is σ = 27794712157632. Its totient is φ = 4324320000000.

The previous prime is 12012232012201. The next prime is 12012232012243. The reversal of 12012232012220 is 2221023221021.

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 = 12012232012192 and 12012232012201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219972920 + ... + 220027520.

It is an arithmetic number, because the mean of its divisors is an integer number (289528251642).

Almost surely, 212012232012220 is an apocalyptic number.

12012232012220 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 12012232012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13897356078816).

12012232012220 is an abundant number, since it is smaller than the sum of its proper divisors (15782480145412).

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

12012232012220 is a wasteful number, since it uses less digits than its factorization.

12012232012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64623 (or 64621 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12012232012220 its reverse (2221023221021), we get a palindrome (14233255233241).

The spelling of 12012232012220 in words is "twelve trillion, twelve billion, two hundred thirty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 9901 11110 19802 22220 39604 49505 54601 99010 108911 109202 198020 217822 218404 273005 435644 544555 546010 600611 1000001 1089110 1092020 1201222 2000002 2178220 2402444 3003055 4000004 5000005 5514701 6006110 10000010 11000011 11029402 12012220 20000020 22000022 22058804 27573505 44000044 55000055 55147010 60661711 110000110 110294020 121323422 220000220 242646844 303308555 540604501 606617110 1081209002 1213234220 2162418004 2703022505 5406045010 5946649511 10812090020 11893299022 23786598044 29733247555 54601054601 59466495110 109202109202 118932990220 218404218404 273005273005 546010546010 600611600611 1092021092020 1201223201222 2402446402444 3003058003055 6006116006110 12012232012220