Search a number
-
+
12231020120 = 23511211131743
BaseRepresentation
bin10110110010000011…
…01000111001011000
31011120101211012101012
423121001220321120
5200022120120440
65341401113052
7612044645534
oct133101507130
934511735335
1012231020120
1152071014a0
122454188788
1311cbc90217
14840596bc4
154b8ba5e65
hex2d9068e58

12231020120 has 64 divisors (see below), whose sum is σ = 30164106240. Its totient is φ = 4426531200.

The previous prime is 12231020089. The next prime is 12231020143. The reversal of 12231020120 is 2102013221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12231020095 and 12231020104.

It is a congruent number.

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, 26969 + ... + 158711.

It is an arithmetic number, because the mean of its divisors is an integer number (471314160).

Almost surely, 212231020120 is an apocalyptic number.

12231020120 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 12231020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082053120).

12231020120 is an abundant number, since it is smaller than the sum of its proper divisors (17933086120).

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

12231020120 is a wasteful number, since it uses less digits than its factorization.

12231020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131976 (or 131972 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12231020120 its reverse (2102013221), we get a palindrome (14333033341).

It can be divided in two parts, 12 and 231020120, that added together give a palindrome (231020132).

The spelling of 12231020120 in words is "twelve billion, two hundred thirty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 211 220 422 440 844 1055 1688 2110 2321 4220 4642 8440 9284 11605 18568 23210 46420 92840 131743 263486 526972 658715 1053944 1317430 1449173 2634860 2898346 5269720 5796692 7245865 11593384 14491730 27797773 28983460 55595546 57966920 111191092 138988865 222382184 277977730 305775503 555955460 611551006 1111910920 1223102012 1528877515 2446204024 3057755030 6115510060 12231020120