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12132977923121 = 1117535472238013
BaseRepresentation
bin1011000010001110110111…
…0101101101010000110001
31120221220100002111111222012
42300203231311231100301
53042241314322014441
641445451344252305
72361402334503326
oct260435565552061
946856302444865
1012132977923121
113958626805720
12143b551911095
136a019a5190b3
142dd34c784b4d
151609174169eb
hexb08edd6d431

12132977923121 has 32 divisors (see below), whose sum is σ = 14305099022208. Its totient is φ = 10166661872640.

The previous prime is 12132977923067. The next prime is 12132977923153.

12132977923121 is nontrivially palindromic in base 10.

12132977923121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12132977923121 - 26 = 12132977923057 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 12132977923121.

It is not an unprimeable number, because it can be changed into a prime (12132977923181) 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, 4302311 + ... + 6540323.

It is an arithmetic number, because the mean of its divisors is an integer number (447034344444).

Almost surely, 212132977923121 is an apocalyptic number.

12132977923121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12132977923121 is a deficient number, since it is larger than the sum of its proper divisors (2172121099087).

12132977923121 is a wasteful number, since it uses less digits than its factorization.

12132977923121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238641.

The product of its digits is 571536, while the sum is 50.

The spelling of 12132977923121 in words is "twelve trillion, one hundred thirty-two billion, nine hundred seventy-seven million, nine hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 11 17 53 187 547 583 901 6017 9299 9911 28991 102289 318901 492847 2238013 5421317 24618143 38046221 118614689 418508431 1224193111 1304761579 2016449713 13466124221 20811282887 22180946843 64882234883 228924111757 713704583713 1102997993011 12132977923121