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12122032131 = 331140814923
BaseRepresentation
bin10110100101000011…
…11000100000000011
31011021210202000222000
423102201320200003
5144311220012011
65322505115043
7606252400356
oct132241704003
934253660860
1012122032131
115160631180
122423788a83
1311b25206a1
1482dd0629d
154ae328356
hex2d2878803

12122032131 has 16 divisors (see below), whose sum is σ = 19591163520. Its totient is φ = 7346685960.

The previous prime is 12122032127. The next prime is 12122032187. The reversal of 12122032131 is 13123022121.

12122032131 is a `hidden beast` number, since 121 + 220 + 321 + 3 + 1 = 666.

It is not a de Polignac number, because 12122032131 - 22 = 12122032127 is a prime.

It is a super-2 number, since 2×121220321312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122032031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20407165 + ... + 20407758.

It is an arithmetic number, because the mean of its divisors is an integer number (1224447720).

Almost surely, 212122032131 is an apocalyptic number.

12122032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12122032131 is a deficient number, since it is larger than the sum of its proper divisors (7469131389).

12122032131 is a wasteful number, since it uses less digits than its factorization.

12122032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40814943 (or 40814937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12122032131 its reverse (13123022121), we get a palindrome (25245054252).

It can be divided in two parts, 121220 and 32131, that added together give a palindrome (153351).

The spelling of 12122032131 in words is "twelve billion, one hundred twenty-two million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 40814923 122444769 367334307 448964153 1102002921 1346892459 4040677377 12122032131