Search a number
-
+
121212202021101 = 32177143491109033
BaseRepresentation
bin11011100011110111101010…
…001111100111000011101101
3120220011202212202202001010100
4123203313222033213003231
5111341420042204133401
61105444041125101313
734350202235306562
oct3343675217470355
9526152782661110
10121212202021101
1135692896055364
12117178a1257839
1352833529903b9
1421d09b7d62869
15e0301a6b9b86
hex6e3dea3e70ed

121212202021101 has 24 divisors (see below), whose sum is σ = 185383794468600. Its totient is φ = 76054539949056.

The previous prime is 121212202021069. The next prime is 121212202021103. The reversal of 121212202021101 is 101120202212121.

121212202021101 is a `hidden beast` number, since 1 + 212 + 1 + 220 + 20 + 211 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42869363400900 + 78342838620201 = 6547470^2 + 8851149^2 .

It is not a de Polignac number, because 121212202021101 - 25 = 121212202021069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212202021103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108740881 + ... + 109849913.

It is an arithmetic number, because the mean of its divisors is an integer number (7724324769525).

Almost surely, 2121212202021101 is an apocalyptic number.

It is an amenable number.

121212202021101 is a deficient number, since it is larger than the sum of its proper divisors (64171592447499).

121212202021101 is a wasteful number, since it uses less digits than its factorization.

121212202021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823405 (or 1823402 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121212202021101 its reverse (101120202212121), we get a palindrome (222332404233222).

The spelling of 121212202021101 in words is "one hundred twenty-one trillion, two hundred twelve billion, two hundred two million, twenty-one thousand, one hundred one".

Divisors: 1 3 9 17 51 153 714349 1109033 2143047 3327099 6429141 9981297 12143933 18853561 36431799 56560683 109295397 169682049 792236614517 2376709843551 7130129530653 13468022446789 40404067340367 121212202021101