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12114233241121 = 1111719091103451
BaseRepresentation
bin1011000001001001000010…
…0100011010111000100001
31120220002221202002000021201
42300102100210122320201
53041434422202203441
641433111340521201
72360136664361554
oct260222044327041
946802852060251
1012114233241121
1139506879356a0
1214379a0250201
1369b4a0c3379b
142dc4910ac69b
151601bb9b1c31
hexb049091ae21

12114233241121 has 16 divisors (see below), whose sum is σ = 13228395653376. Its totient is φ = 11002217850000.

The previous prime is 12114233241073. The next prime is 12114233241151.

12114233241121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12114233241121 - 225 = 12114199686689 is a prime.

It is a super-3 number, since 3×121142332411213 (a number of 40 digits) contains 333 as substring.

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 12114233241121.

It is not an unprimeable number, because it can be changed into a prime (12114233241151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117049446 + ... + 117152896.

It is an arithmetic number, because the mean of its divisors is an integer number (826774728336).

Almost surely, 212114233241121 is an apocalyptic number.

12114233241121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12114233241121 is a deficient number, since it is larger than the sum of its proper divisors (1114162412255).

12114233241121 is a wasteful number, since it uses less digits than its factorization.

12114233241121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113724.

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

It can be divided in two parts, 1211423 and 3241121, that added together give a palindrome (4452544).

The spelling of 12114233241121 in words is "twelve trillion, one hundred fourteen billion, two hundred thirty-three million, two hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 11 1171 9091 12881 100001 103451 1137961 10645561 117101171 121141121 940473041 1332552331 10345203451 1101293931011 12114233241121