Search a number
-
+
12212300321221 = 7111367567180563
BaseRepresentation
bin1011000110110110010111…
…0100101001000111000101
31121020111002012120211220111
42301231211310221013011
53100041242340234341
641550130414433021
72400211120661230
oct261554564510705
947214065524814
1012212300321221
113989231180430
1214529aa802771
136a77cc154630
14303115536417
15162a0b189681
hexb1b65d291c5

12212300321221 has 32 divisors (see below), whose sum is σ = 16397268185088. Its totient is φ = 8783893506240.

The previous prime is 12212300321213. The next prime is 12212300321257.

12212300321221 is nontrivially palindromic in base 10.

12212300321221 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 12212300321221 - 23 = 12212300321213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212300321192 and 12212300321201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212300321281) 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, 67544286 + ... + 67724848.

It is an arithmetic number, because the mean of its divisors is an integer number (512414630784).

Almost surely, 212212300321221 is an apocalyptic number.

12212300321221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212300321221 is a deficient number, since it is larger than the sum of its proper divisors (4184967863867).

12212300321221 is a wasteful number, since it uses less digits than its factorization.

12212300321221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248161.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 12212300 and 321221, that added together give a palindrome (12533521).

The spelling of 12212300321221 in words is "twelve trillion, two hundred twelve billion, three hundred million, three hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 67567 180563 472969 743237 878371 1263941 1986193 2347319 5202659 6148597 9662081 13903351 16431233 25820509 67634567 180743563 12200100221 85400701547 134201102431 158601302873 939407717017 1110209120111 1744614331603 12212300321221