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122256478721 = 13671009313907
BaseRepresentation
bin111000111011100001…
…1011101001000000001
3102200120021010121101102
41301313003131020001
54000340124304341
6132055220344145
711555425631366
oct1616703351001
9380507117342
10122256478721
114793765aa73
121b83b545055
13b6b4831c90
145cbacc646d
1532a812bc9b
hex1c770dd201

122256478721 has 16 divisors (see below), whose sum is σ = 133648759104. Its totient is φ = 111148766784.

The previous prime is 122256478697. The next prime is 122256478759. The reversal of 122256478721 is 127874652221.

It is a cyclic number.

It is not a de Polignac number, because 122256478721 - 26 = 122256478657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122256478781) 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 15 ways as a sum of consecutive naturals, for example, 8784050 + ... + 8797956.

It is an arithmetic number, because the mean of its divisors is an integer number (8353047444).

Almost surely, 2122256478721 is an apocalyptic number.

It is an amenable number.

122256478721 is a deficient number, since it is larger than the sum of its proper divisors (11392280383).

122256478721 is a wasteful number, since it uses less digits than its factorization.

122256478721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24080.

The product of its digits is 752640, while the sum is 47.

It can be divided in two parts, 12225 and 6478721, that added together give a palindrome (6490946).

The spelling of 122256478721 in words is "one hundred twenty-two billion, two hundred fifty-six million, four hundred seventy-eight thousand, seven hundred twenty-one".

Divisors: 1 13 67 871 10093 13907 131209 180791 676231 931769 8791003 12112997 140363351 1824723563 9404344517 122256478721