Search a number
-
+
12210144101221 = 119901112111211
BaseRepresentation
bin1011000110101110010101…
…0011010100001101100101
31121020021111221021112010111
42301223211103110031211
53100022333342214341
641545132431253021
72400103516262443
oct261534523241545
947207457245114
1012210144101221
113988325033430
1214524a867a171
136a7547511201
14302d8d013b93
15162931c19681
hexb1ae54d4365

12210144101221 has 8 divisors (see below), whose sum is σ = 13321502654688. Its totient is φ = 11099009790000.

The previous prime is 12210144101213. The next prime is 12210144101231.

12210144101221 is nontrivially palindromic in base 10.

12210144101221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12210144101221 - 23 = 12210144101213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12210144101192 and 12210144101201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210144101231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55946695 + ... + 56164516.

It is an arithmetic number, because the mean of its divisors is an integer number (1665187831836).

Almost surely, 212210144101221 is an apocalyptic number.

12210144101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210144101221 is a deficient number, since it is larger than the sum of its proper divisors (1111358553467).

12210144101221 is a wasteful number, since it uses less digits than its factorization.

12210144101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112121123.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 1221014 and 4101221, that added together give a palindrome (5322235).

The spelling of 12210144101221 in words is "twelve trillion, two hundred ten billion, one hundred forty-four million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 11 9901 108911 112111211 1233223321 1110013100111 12210144101221