Search a number
-
+
121213141312121 = 7313744327359147
BaseRepresentation
bin11011100011111000100010…
…001110101110001001111001
3120220011212022020011222011122
4123203320202032232021321
5111341424003133441441
61105444314241235025
734350234432201425
oct3343704216561171
9526155266158148
10121213141312121
1135693228283631
1211717b03932a75
1352834724629c1
1421d0a669c9b85
15e03072da834b
hex6e3e223ae279

121213141312121 has 16 divisors (see below), whose sum is σ = 124049879002944. Its totient is φ = 118412134873344.

The previous prime is 121213141312097. The next prime is 121213141312183.

121213141312121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 121213141312121 - 222 = 121213137117817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121213141312621) 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, 9249131 + ... + 18110016.

It is an arithmetic number, because the mean of its divisors is an integer number (7753117437684).

Almost surely, 2121213141312121 is an apocalyptic number.

It is an amenable number.

121213141312121 is a deficient number, since it is larger than the sum of its proper divisors (2836737690823).

121213141312121 is a wasteful number, since it uses less digits than its factorization.

121213141312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27359800.

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

The spelling of 121213141312121 in words is "one hundred twenty-one trillion, two hundred thirteen billion, one hundred forty-one million, three hundred twelve thousand, one hundred twenty-one".

Divisors: 1 73 137 443 10001 32339 60691 4430443 27359147 1997217731 3748203139 12120102121 273618829147 884767454833 1660453990577 121213141312121