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12131112020 = 22519791014001
BaseRepresentation
bin10110100110001001…
…00001010001010100
31011022102211100020012
423103010201101110
5144321031041040
65323431455352
7606422515346
oct132304412124
934272740205
1012131112020
115165773015
122426827558
1311b437c4c1
148311cb296
154b001d865
hex2d3121454

12131112020 has 96 divisors (see below), whose sum is σ = 27431308800. Its totient is φ = 4492800000.

The previous prime is 12131111999. The next prime is 12131112101. The reversal of 12131112020 is 2021113121.

It is a junction number, because it is equal to n+sod(n) for n = 12131111986 and 12131112004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3030020 + ... + 3034020.

It is an arithmetic number, because the mean of its divisors is an integer number (285742800).

Almost surely, 212131112020 is an apocalyptic number.

12131112020 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 12131112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13715654400).

12131112020 is an abundant number, since it is smaller than the sum of its proper divisors (15300196780).

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

12131112020 is a wasteful number, since it uses less digits than its factorization.

12131112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12131112020 its reverse (2021113121), we get a palindrome (14152225141).

It can be divided in two parts, 121311 and 12020, that added together give a palindrome (133331).

The spelling of 12131112020 in words is "twelve billion, one hundred thirty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 101 158 190 202 316 380 395 404 505 790 1010 1501 1580 1919 2020 3002 3838 4001 6004 7505 7676 7979 8002 9595 15010 15958 16004 19190 20005 30020 31916 38380 39895 40010 76019 79790 80020 151601 152038 159580 303202 304076 316079 380095 404101 606404 632158 758005 760190 808202 1264316 1516010 1520380 1580395 1616404 2020505 3032020 3160790 4041010 6005501 6321580 7677919 8082020 12011002 15355838 24022004 30027505 30711676 31923979 38389595 60055010 63847958 76779190 120110020 127695916 153558380 159619895 319239790 606555601 638479580 1213111202 2426222404 3032778005 6065556010 12131112020