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12134211243121 = 112938038279759
BaseRepresentation
bin1011000010010011011101…
…0110011100110001110001
31120222000112001012122221201
42300210313112130301301
53042301331034234441
641450214002451201
72361445031525422
oct260446726346161
946860461178851
1012134211243121
1139590a99aa250
12143b836963b01
136a0335ba8746
142dd4284a9649
1516098a834c31
hexb093759cc71

12134211243121 has 8 divisors (see below), whose sum is σ = 13693780713600. Its totient is φ = 10650718332240.

The previous prime is 12134211243107. The next prime is 12134211243139.

12134211243121 is nontrivially palindromic in base 10.

12134211243121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12134211243121 - 29 = 12134211242609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12134211243121.

It is not an unprimeable number, because it can be changed into a prime (12134211243101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19019139561 + ... + 19019140198.

It is an arithmetic number, because the mean of its divisors is an integer number (1711722589200).

Almost surely, 212134211243121 is an apocalyptic number.

12134211243121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12134211243121 is a deficient number, since it is larger than the sum of its proper divisors (1559569470479).

12134211243121 is a wasteful number, since it uses less digits than its factorization.

12134211243121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38038279799.

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1213421 and 1243121, that added together give a palindrome (2456542).

The spelling of 12134211243121 in words is "twelve trillion, one hundred thirty-four billion, two hundred eleven million, two hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 11 29 319 38038279759 418421077349 1103110113011 12134211243121