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12244344344221 = 1141101271991901
BaseRepresentation
bin1011001000101101101111…
…0010111000111010011101
31121100112210102001212201011
42302023123302320322131
53101102404123003341
642012550225215221
72402424160453633
oct262133362707235
947315712055634
1012244344344221
1139a088519a170
121459052191511
136aa837b387a2
143048b5219353
1516378446eb81
hexb22dbcb8e9d

12244344344221 has 32 divisors (see below), whose sum is σ = 13869741860352. Its totient is φ = 10712520000000.

The previous prime is 12244344344213. The next prime is 12244344344261.

12244344344221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12244344344221 - 23 = 12244344344213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244344344261) 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, 11848371 + ... + 12840271.

It is an arithmetic number, because the mean of its divisors is an integer number (433429433136).

Almost surely, 212244344344221 is an apocalyptic number.

12244344344221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12244344344221 is a deficient number, since it is larger than the sum of its proper divisors (1625397516131).

12244344344221 is a wasteful number, since it uses less digits than its factorization.

12244344344221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992325.

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 1224434 and 4344221, that added together give a palindrome (5568655).

The spelling of 12244344344221 in words is "twelve trillion, two hundred forty-four billion, three hundred forty-four million, three hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 11 41 101 271 451 1111 2981 4141 11111 27371 45551 122221 301081 991901 1122211 10910911 12344321 40667941 100182001 268805171 447347351 1102002011 2956856881 4107462041 11021012011 27149322271 45182082451 121231132121 298642544981 1113122213111 12244344344221