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12113144131121 = 112517451588811
BaseRepresentation
bin1011000001000100111110…
…1001110010111000110001
31120220000010211201111020022
42300101033221302320301
53041430204344143441
641432411313253225
72360101001163005
oct260211751627061
946800124644208
1012113144131121
113950179089190
121437737564215
1369b3593c67b7
142dc3ca5a6705
1516015607c84b
hexb044fa72e31

12113144131121 has 16 divisors (see below), whose sum is σ = 13268788920576. Its totient is φ = 10966586250000.

The previous prime is 12113144131069. The next prime is 12113144131181.

12113144131121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12113144131121 - 26 = 12113144131057 is a prime.

It is a super-2 number, since 2×121131441311212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12113144131181) 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, 20277806 + ... + 20866616.

It is an arithmetic number, because the mean of its divisors is an integer number (829299307536).

Almost surely, 212113144131121 is an apocalyptic number.

12113144131121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12113144131121 is a deficient number, since it is larger than the sum of its proper divisors (1155644789455).

12113144131121 is a wasteful number, since it uses less digits than its factorization.

12113144131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596524.

The product of its digits is 576, while the sum is 26.

It can be divided in two parts, 1211314 and 4131121, that added together give a palindrome (5342435).

The spelling of 12113144131121 in words is "twelve trillion, one hundred thirteen billion, one hundred forty-four million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 11 251 2761 7451 81961 588811 1870201 6476921 20572211 147791561 1625707171 4387230761 48259538371 1101194921011 12113144131121