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12131122113121 = 112353146867081
BaseRepresentation
bin1011000010000111111100…
…1110010110101001100001
31120221201112202110121020111
42300201333032112221201
53042224014230104441
641444543252011321
72361305341412464
oct260417716265141
946851482417214
1012131122113121
1139578641a2150
12143b114300b41
1369cc62bb827b
142dd2141012db
15160859537081
hexb087f396a61

12131122113121 has 8 divisors (see below), whose sum is σ = 13234514083488. Its totient is φ = 11027823924000.

The previous prime is 12131122113113. The next prime is 12131122113221.

12131122113121 is nontrivially palindromic in base 10.

12131122113121 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 12131122113121 - 23 = 12131122113113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12131122113092 and 12131122113101.

It is not an unprimeable number, because it can be changed into a prime (12131122113221) 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, 23174700 + ... + 23692381.

It is an arithmetic number, because the mean of its divisors is an integer number (1654314260436).

Almost surely, 212131122113121 is an apocalyptic number.

12131122113121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12131122113121 is a deficient number, since it is larger than the sum of its proper divisors (1103391970367).

12131122113121 is a wasteful number, since it uses less digits than its factorization.

12131122113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46890623.

The product of its digits is 144, while the sum is 22.

Multiplying 12131122113121 by its sum of digits (22), we get a palindrome (266884686488662).

It can be divided in two parts, 1213112 and 2113121, that added together give a palindrome (3326233).

The spelling of 12131122113121 in words is "twelve trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 11 23531 258841 46867081 515537891 1102829283011 12131122113121