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122301300121 = 71113122179121
BaseRepresentation
bin111000111100110111…
…0011011110110011001
3102200200101110202210021
41301321232123312121
54000433113100441
6132103501150441
711556511620130
oct1617156336631
9380611422707
10122301300121
114795a993a50
121b85255b421
13b6c0bc6210
145cc2c32917
1532ac0323d1
hex1c79b9bd99

122301300121 has 16 divisors (see below), whose sum is σ = 164208739968. Its totient is φ = 87968966400.

The previous prime is 122301300109. The next prime is 122301300139. The reversal of 122301300121 is 121003103221.

It is not a de Polignac number, because 122301300121 - 213 = 122301291929 is a prime.

It is a super-2 number, since 2×1223013001212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122301300095 and 122301300104.

It is not an unprimeable number, because it can be changed into a prime (122301300151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61088560 + ... + 61090561.

It is an arithmetic number, because the mean of its divisors is an integer number (10263046248).

Almost surely, 2122301300121 is an apocalyptic number.

122301300121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122301300121 is a deficient number, since it is larger than the sum of its proper divisors (41907439847).

122301300121 is a wasteful number, since it uses less digits than its factorization.

122301300121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122179152.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122301300121 its reverse (121003103221), we get a palindrome (243304403342).

The spelling of 122301300121 in words is "one hundred twenty-two billion, three hundred one million, three hundred thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 122179121 855253847 1343970331 1588328573 9407792317 11118300011 17471614303 122301300121