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122441141421 = 3276117877229
BaseRepresentation
bin111001000001000001…
…1111000110010101101
3102201001010121102222200
41302002003320302231
54001224413011141
6132125414332113
711563130346534
oct1620203706255
9381033542880
10122441141421
1147a21917875
121b89135a039
13b713b79251
145cd763531b
1532b9456ab6
hex1c820f8cad

122441141421 has 12 divisors (see below), whose sum is σ = 177091840380. Its totient is φ = 81520159680.

The previous prime is 122441141393. The next prime is 122441141453. The reversal of 122441141421 is 124141144221.

122441141421 is a `hidden beast` number, since 1 + 2 + 244 + 1 + 1 + 414 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 364275396 + 122076866025 = 19086^2 + 349395^2 .

It is not a de Polignac number, because 122441141421 - 27 = 122441141293 is a prime.

It is a super-2 number, since 2×1224411414212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122441141021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8931766 + ... + 8945463.

It is an arithmetic number, because the mean of its divisors is an integer number (14757653365).

Almost surely, 2122441141421 is an apocalyptic number.

It is an amenable number.

122441141421 is a deficient number, since it is larger than the sum of its proper divisors (54650698959).

122441141421 is a wasteful number, since it uses less digits than its factorization.

122441141421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17877996 (or 17877993 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 122441141421 its reverse (124141144221), we get a palindrome (246582285642).

The spelling of 122441141421 in words is "one hundred twenty-two billion, four hundred forty-one million, one hundred forty-one thousand, four hundred twenty-one".

Divisors: 1 3 9 761 2283 6849 17877229 53631687 160895061 13604571269 40813713807 122441141421