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122444120401 = 418773405293
BaseRepresentation
bin111001000001000111…
…1010000000101010001
3102201001100012210101021
41302002033100011101
54001231143323101
6132130002235441
711563164564601
oct1620217200521
9381040183337
10122444120401
1147a23571a39
121b892355b81
13b714680165
145cd7bacc01
1532b98445a1
hex1c823d0151

122444120401 has 8 divisors (see below), whose sum is σ = 125573621544. Its totient is φ = 119321431680.

The previous prime is 122444120399. The next prime is 122444120413. The reversal of 122444120401 is 104021444221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1033686801 + 121410433600 = 32151^2 + 348440^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 122444120401 - 21 = 122444120399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122444127401) 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, 1666690 + ... + 1738603.

It is an arithmetic number, because the mean of its divisors is an integer number (15696702693).

Almost surely, 2122444120401 is an apocalyptic number.

It is an amenable number.

122444120401 is a deficient number, since it is larger than the sum of its proper divisors (3129501143).

122444120401 is an equidigital number, since it uses as much as digits as its factorization.

122444120401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406211.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 122444120401 its reverse (104021444221), we get a palindrome (226465564622).

The spelling of 122444120401 in words is "one hundred twenty-two billion, four hundred forty-four million, one hundred twenty thousand, four hundred one".

Divisors: 1 41 877 35957 3405293 139617013 2986441961 122444120401