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12132244223121 = 3115914294360567
BaseRepresentation
bin1011000010001100001000…
…0110110111010010010001
31120221211102221220200210010
42300203002012313102101
53042233314010114441
641445250454425133
72361345215243301
oct260430206672221
946854387820703
1012132244223121
11395828a638a90
12143b3880621a9
136a00b150a899
142dd2bd157601
151608c2cd9116
hexb08c21b7491

12132244223121 has 32 divisors (see below), whose sum is σ = 17958563251200. Its totient is φ = 7223190367680.

The previous prime is 12132244223083. The next prime is 12132244223131.

12132244223121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12132244223121 - 222 = 12132240028817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12132244223131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601980 + ... + 4962546.

It is an arithmetic number, because the mean of its divisors is an integer number (561205101600).

Almost surely, 212132244223121 is an apocalyptic number.

12132244223121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12132244223121 is a deficient number, since it is larger than the sum of its proper divisors (5826319028079).

12132244223121 is a wasteful number, since it uses less digits than its factorization.

12132244223121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362069.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1213224 and 4223121, that added together give a palindrome (5436345).

The spelling of 12132244223121 in words is "twelve trillion, one hundred thirty-two billion, two hundred forty-four million, two hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 11 33 59 177 649 1429 1947 4287 15719 47157 84311 252933 927421 2782263 4360567 13081701 47966237 143898711 257273453 771820359 2830007983 6231250243 8490023949 18693750729 68543752673 205631258019 367643764337 1102931293011 4044081407707 12132244223121