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12192129 = 3219374147
BaseRepresentation
bin101110100000…
…100110000001
3211221102110100
4232200212001
511110122004
61113153013
7205426365
oct56404601
924842410
1012192129
116978144
1240bb769
1326ab5a1
1418952a5
15110c739
hexba0981

12192129 has 48 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 7153920.

The previous prime is 12192121. The next prime is 12192143. The reversal of 12192129 is 92129121.

It is not a de Polignac number, because 12192129 - 23 = 12192121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12192121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259384 + ... + 259430.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 212192129 is an apocalyptic number.

12192129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12192129 is a deficient number, since it is larger than the sum of its proper divisors (7725951).

12192129 is a wasteful number, since it uses less digits than its factorization.

12192129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 12192129 is about 3491.7229271522. The cubic root of 12192129 is about 230.1582338994.

It can be divided in two parts, 12192 and 129, that added together give a palindrome (12321).

The spelling of 12192129 in words is "twelve million, one hundred ninety-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 19 37 41 47 57 111 123 141 171 333 369 423 703 779 893 1517 1739 1927 2109 2337 2679 4551 5217 5781 6327 7011 8037 13653 15651 17343 28823 33041 36613 71299 86469 99123 109839 213897 259407 297369 329517 641691 1354681 4064043 12192129