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12144121231 = 117115549451
BaseRepresentation
bin10110100111101100…
…01001010110001111
31011100100022021111211
423103312021112033
5144332343334411
65325014355251
7606641220154
oct132366112617
934310267454
1012144121231
115172049030
12242b05bb27
1311b6c85968
14832c1622b
154b123d221
hex2d3d8958f

12144121231 has 8 divisors (see below), whose sum is σ = 13434726528. Its totient is φ = 10884615000.

The previous prime is 12144121219. The next prime is 12144121291. The reversal of 12144121231 is 13212144121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12144121231 - 231 = 9996637583 is a prime.

It is a super-3 number, since 3×121441212313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7773945 + ... + 7775506.

It is an arithmetic number, because the mean of its divisors is an integer number (1679340816).

Almost surely, 212144121231 is an apocalyptic number.

12144121231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12144121231 is a deficient number, since it is larger than the sum of its proper divisors (1290605297).

12144121231 is a wasteful number, since it uses less digits than its factorization.

12144121231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15549533.

The product of its digits is 384, while the sum is 22.

Adding to 12144121231 its reverse (13212144121), we get a palindrome (25356265352).

The spelling of 12144121231 in words is "twelve billion, one hundred forty-four million, one hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 11 71 781 15549451 171043961 1104011021 12144121231