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12032122141 = 132831137591
BaseRepresentation
bin10110011010010101…
…11001110100011101
31011001112120010122101
423031022321310131
5144120210402031
65305534045101
7604111231204
oct131512716435
934045503571
1012032122141
1151149014a6
1223b9649791
131199a00700
14821dc023b
154a64b8361
hex2cd2b9d1d

12032122141 has 24 divisors (see below), whose sum is σ = 13304281536. Its totient is φ = 10874223360.

The previous prime is 12032122111. The next prime is 12032122177. The reversal of 12032122141 is 14122123021.

It is not a de Polignac number, because 12032122141 - 227 = 11897904413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032122111) 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 23 ways as a sum of consecutive naturals, for example, 1581256 + ... + 1588846.

It is an arithmetic number, because the mean of its divisors is an integer number (554345064).

Almost surely, 212032122141 is an apocalyptic number.

It is an amenable number.

12032122141 is a deficient number, since it is larger than the sum of its proper divisors (1272159395).

12032122141 is a wasteful number, since it uses less digits than its factorization.

12032122141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12032122141 its reverse (14122123021), we get a palindrome (26154245162).

The spelling of 12032122141 in words is "twelve billion, thirty-two million, one hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 13 83 113 169 1079 1469 7591 9379 14027 19097 98683 121927 630053 857783 1282879 1585051 8190689 11151179 71195989 106478957 144965327 925547857 12032122141