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122144427441 = 334523867683
BaseRepresentation
bin111000111000001100…
…0000000110110110001
3102200021110021210221000
41301300120000312301
54000122433134231
6132040134552213
711552565334311
oct1616030006661
9380243253830
10122144427441
114788a388203
121b809b08669
13b69755c04a
145caa079441
15329d3966e6
hex1c70600db1

122144427441 has 8 divisors (see below), whose sum is σ = 180954707360. Its totient is φ = 81429618276.

The previous prime is 122144427401. The next prime is 122144427511. The reversal of 122144427441 is 144724441221.

122144427441 is a `hidden beast` number, since 1 + 221 + 4 + 4 + 427 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 122144427441 - 235 = 87784689073 is a prime.

It is a super-2 number, since 2×1221444274412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122144427396 and 122144427405.

It is not an unprimeable number, because it can be changed into a prime (122144427401) 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, 2261933815 + ... + 2261933868.

It is an arithmetic number, because the mean of its divisors is an integer number (22619338420).

Almost surely, 2122144427441 is an apocalyptic number.

It is an amenable number.

122144427441 is a deficient number, since it is larger than the sum of its proper divisors (58810279919).

122144427441 is an equidigital number, since it uses as much as digits as its factorization.

122144427441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523867692 (or 4523867686 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

Adding to 122144427441 its reverse (144724441221), we get a palindrome (266868868662).

The spelling of 122144427441 in words is "one hundred twenty-two billion, one hundred forty-four million, four hundred twenty-seven thousand, four hundred forty-one".

Divisors: 1 3 9 27 4523867683 13571603049 40714809147 122144427441