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12012111032301 = 324132553146429
BaseRepresentation
bin1010111011001100100110…
…0111000110111111101101
31120112100100200010021211100
42232303021213012333231
53033301300411013201
641314142043313313
72346563211050412
oct256631147067755
946470320107740
1012012111032301
113911342582706
12142003b81b839
1369197785b5a3
142d7564260109
1515c6e12c4886
hexaecc99c6fed

12012111032301 has 12 divisors (see below), whose sum is σ = 17774017950780. Its totient is φ = 7812755142720.

The previous prime is 12012111032293. The next prime is 12012111032309. The reversal of 12012111032301 is 10323011121021.

12012111032301 is a `hidden beast` number, since 1 + 201 + 21 + 110 + 32 + 301 = 666.

It is an interprime number because it is at equal distance from previous prime (12012111032293) and next prime (12012111032309).

It can be written as a sum of positive squares in 2 ways, for example, as 6007033355625 + 6005077676676 = 2450925^2 + 2450526^2 .

It is not a de Polignac number, because 12012111032301 - 23 = 12012111032293 is a prime.

It is a super-2 number, since 2×120121110323012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012111032309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16276572846 + ... + 16276573583.

It is an arithmetic number, because the mean of its divisors is an integer number (1481168162565).

Almost surely, 212012111032301 is an apocalyptic number.

It is an amenable number.

12012111032301 is a deficient number, since it is larger than the sum of its proper divisors (5761906918479).

12012111032301 is a wasteful number, since it uses less digits than its factorization.

12012111032301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32553146476 (or 32553146473 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12012111032301 its reverse (10323011121021), we get a palindrome (22335122153322).

The spelling of 12012111032301 in words is "twelve trillion, twelve billion, one hundred eleven million, thirty-two thousand, three hundred one".

Divisors: 1 3 9 41 123 369 32553146429 97659439287 292978317861 1334679003589 4004037010767 12012111032301