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121231132121 = 1141271991901
BaseRepresentation
bin111000011100111110…
…0000100010111011001
3102120220210202121021102
41300321330010113121
53441240132211441
6131405351521145
711521135422611
oct1607174042731
9376823677242
10121231132121
11474608a4990
121b5b40891b5
13b58028bc08
145c20a5ba41
1532480e069b
hex1c39f045d9

121231132121 has 16 divisors (see below), whose sum is σ = 135977861376. Its totient is φ = 107125200000.

The previous prime is 121231132117. The next prime is 121231132123.

121231132121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 121231132121 - 22 = 121231132117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121231132093 and 121231132102.

It is not an unprimeable number, because it can be changed into a prime (121231132123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373730 + ... + 618171.

It is an arithmetic number, because the mean of its divisors is an integer number (8498616336).

Almost surely, 2121231132121 is an apocalyptic number.

121231132121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121231132121 is a deficient number, since it is larger than the sum of its proper divisors (14746729255).

121231132121 is a wasteful number, since it uses less digits than its factorization.

121231132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992224.

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 121231 and 132121, that added together give a palindrome (253352).

The spelling of 121231132121 in words is "one hundred twenty-one billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 41 271 451 2981 11111 122221 991901 10910911 40667941 268805171 447347351 2956856881 11021012011 121231132121