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12213455431221 = 32113715721237431
BaseRepresentation
bin1011000110111010101010…
…1011000010011000110101
31121020121001201010111221100
42301232222223002120311
53100101124042244341
641550441200440313
72400251545153662
oct261565253023065
947217051114840
1012213455431221
1139897742066a0
121453071619099
136a795455c585
143031c4adca69
15162a777a93b6
hexb1baaac2635

12213455431221 has 48 divisors (see below), whose sum is σ = 19891488509568. Its totient is φ = 7156164412800.

The previous prime is 12213455431183. The next prime is 12213455431223.

12213455431221 is a `hidden beast` number, since 1 + 2 + 21 + 34 + 554 + 31 + 2 + 21 = 666.

12213455431221 is nontrivially palindromic in base 10.

12213455431221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12213455431221 - 238 = 11938577524277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213455431223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10043625 + ... + 11193806.

It is an arithmetic number, because the mean of its divisors is an integer number (414406010616).

Almost surely, 212213455431221 is an apocalyptic number.

12213455431221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12213455431221 is a deficient number, since it is larger than the sum of its proper divisors (7678033078347).

12213455431221 is a wasteful number, since it uses less digits than its factorization.

12213455431221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21237642 (or 21237639 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 1221345 and 5431221, that added together give a palindrome (6652566).

The spelling of 12213455431221 in words is "twelve trillion, two hundred thirteen billion, four hundred fifty-five million, four hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 157 333 407 471 1221 1413 1727 3663 5181 5809 15543 17427 52281 63899 191697 575091 21237431 63712293 191136879 233611741 700835223 785784947 2102505669 2357354841 3334276667 7072064523 8643634417 10002830001 25930903251 30008490003 36677043337 77792709753 110031130011 123368236679 330093390033 370104710037 1110314130111 1357050603469 4071151810407 12213455431221