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12030132120132 = 223717192917152003
BaseRepresentation
bin1010111100001111101111…
…0000000110101001000100
31120121001212120222101220210
42233003323300012221010
53034100202310321012
641330322201555420
72351101613552160
oct257037360065104
946531776871823
1012030132120132
113918a4aa58725
12142362aaa5b70
1369358a263479
142d83937b9ca0
1515cde844623c
hexaf0fbc06a44

12030132120132 has 192 divisors, whose sum is σ = 35767684270080. Its totient is φ = 3063659894784.

The previous prime is 12030132120091. The next prime is 12030132120133. The reversal of 12030132120132 is 23102123103021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12030132120099 and 12030132120108.

It is not an unprimeable number, because it can be changed into a prime (12030132120133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79068043 + ... + 79220045.

It is an arithmetic number, because the mean of its divisors is an integer number (186290022240).

Almost surely, 212030132120132 is an apocalyptic number.

12030132120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12030132120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17883842135040).

12030132120132 is an abundant number, since it is smaller than the sum of its proper divisors (23737552149948).

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

12030132120132 is a wasteful number, since it uses less digits than its factorization.

12030132120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154970 (or 154968 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12030132120132 its reverse (23102123103021), we get a palindrome (35132255223153).

The spelling of 12030132120132 in words is "twelve trillion, thirty billion, one hundred thirty-two million, one hundred twenty thousand, one hundred thirty-two".