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12040131220 = 2251331012713
BaseRepresentation
bin10110011011010010…
…11101001010010100
31011002002122001000221
423031221131022110
5144124233144340
65310421444124
7604236266245
oct131551351224
934062561027
1012040131220
115119381877
122400270644
13119b576000
148230a6ccc
154a704b44a
hex2cda5d294

12040131220 has 96 divisors (see below), whose sum is σ = 27671726880. Its totient is φ = 4399948800.

The previous prime is 12040131209. The next prime is 12040131263. The reversal of 12040131220 is 2213104021.

12040131220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 6366124944 + 5674006276 = 79788^2 + 75326^2 .

It is a super-3 number, since 3×120401312203 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12040131194 and 12040131203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4436584 + ... + 4439296.

It is an arithmetic number, because the mean of its divisors is an integer number (288247155).

Almost surely, 212040131220 is an apocalyptic number.

12040131220 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 12040131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13835863440).

12040131220 is an abundant number, since it is smaller than the sum of its proper divisors (15631595660).

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

12040131220 is a wasteful number, since it uses less digits than its factorization.

12040131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12040131220 its reverse (2213104021), we get a palindrome (14253235241).

The spelling of 12040131220 in words is "twelve billion, forty million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 169 202 260 338 404 505 676 845 1010 1313 1690 2020 2197 2626 2713 3380 4394 5252 5426 6565 8788 10852 10985 13130 13565 17069 21970 26260 27130 34138 35269 43940 54260 68276 70538 85345 141076 170690 176345 221897 274013 341380 352690 443794 458497 548026 705380 887588 916994 1096052 1109485 1370065 1833988 2218970 2292485 2740130 3562169 4437940 4584970 5480260 5960461 7124338 9169940 11920922 14248676 17810845 23841844 29802305 35621690 46308197 59604610 71243380 92616394 119209220 185232788 231540985 463081970 602006561 926163940 1204013122 2408026244 3010032805 6020065610 12040131220