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12001120001001 = 35175283754983
BaseRepresentation
bin1010111010100011101001…
…1111101001101111101001
31120111021222200120001100000
42232220322133221233221
53033111243210013001
641305123255333213
72346023640610365
oct256507237515751
946437880501300
1012001120001001
11390771241016a
121419a92981209
13690915754281
142d6c006462a5
1515c29b407a86
hexaea3a7e9be9

12001120001001 has 48 divisors (see below), whose sum is σ = 19035162566784. Its totient is φ = 7529835043584.

The previous prime is 12001120000951. The next prime is 12001120001021. The reversal of 12001120001001 is 10010002110021.

It is a happy number.

It is not a de Polignac number, because 12001120001001 - 211 = 12001119998953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12001120001021) 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, 218242156 + ... + 218297138.

It is an arithmetic number, because the mean of its divisors is an integer number (396565886808).

Almost surely, 212001120001001 is an apocalyptic number.

It is an amenable number.

12001120001001 is a deficient number, since it is larger than the sum of its proper divisors (7034042565783).

12001120001001 is an equidigital number, since it uses as much as digits as its factorization.

12001120001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107852 (or 107840 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001120001001 its reverse (10010002110021), we get a palindrome (22011122111022).

The spelling of 12001120001001 in words is "twelve trillion, one billion, one hundred twenty million, one thousand, one".

Divisors: 1 3 9 17 27 51 81 153 243 459 1377 4131 52837 54983 158511 164949 475533 494847 898229 934711 1426599 1484541 2694687 2804133 4279797 4453623 8084061 8412399 12839391 13360869 24252183 25237197 72756549 75711591 218269647 227134773 2905136771 8715410313 26146230939 49387325107 78438692817 148161975321 235316078451 444485925963 705948235353 1333457777889 4000373333667 12001120001001