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12144431120 = 2451051144439
BaseRepresentation
bin10110100111101110…
…10101000000010000
31011100100220000121012
423103313111000100
5144332433243440
65325025150052
7606643650503
oct132367250020
934310800535
1012144431120
11517223a938
12242b18b328
1311b7063a23
14832c9713a
154b129ee65
hex2d3dd5010

12144431120 has 40 divisors (see below), whose sum is σ = 28262863680. Its totient is φ = 4853116800.

The previous prime is 12144431107. The next prime is 12144431149. The reversal of 12144431120 is 2113444121.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11861 + ... + 156299.

It is an arithmetic number, because the mean of its divisors is an integer number (706571592).

Almost surely, 212144431120 is an apocalyptic number.

12144431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144431120 is an abundant number, since it is smaller than the sum of its proper divisors (16118432560).

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

12144431120 is a wasteful number, since it uses less digits than its factorization.

12144431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145503 (or 145497 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 12144431120 its reverse (2113444121), we get a palindrome (14257875241).

The spelling of 12144431120 in words is "twelve billion, one hundred forty-four million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1051 2102 4204 5255 8408 10510 16816 21020 42040 84080 144439 288878 577756 722195 1155512 1444390 2311024 2888780 5777560 11555120 151805389 303610778 607221556 759026945 1214443112 1518053890 2428886224 3036107780 6072215560 12144431120