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122200320121 = 1121009920001
BaseRepresentation
bin111000111001110110…
…1001110100001111001
3102200102100110110021021
41301303231032201321
54000231240220441
6132045452542441
711554144403605
oct1616355164171
9380370413237
10122200320121
1147908993200
121b824781a21
13b6a5ccb639
145cb3668505
1532a32373d1
hex1c73b4e879

122200320121 has 6 divisors (see below), whose sum is σ = 134319360266. Its totient is φ = 111091200000.

The previous prime is 122200320119. The next prime is 122200320149. The reversal of 122200320121 is 121023002221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 103063471225 + 19136848896 = 321035^2 + 138336^2 .

It is not a de Polignac number, because 122200320121 - 21 = 122200320119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122200320095 and 122200320104.

It is not an unprimeable number, because it can be changed into a prime (122200320721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504959880 + ... + 504960121.

Almost surely, 2122200320121 is an apocalyptic number.

122200320121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122200320121 is a deficient number, since it is larger than the sum of its proper divisors (12119040145).

122200320121 is a wasteful number, since it uses less digits than its factorization.

122200320121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009920023 (or 1009920012 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122200320121 its reverse (121023002221), we get a palindrome (243223322342).

The spelling of 122200320121 in words is "one hundred twenty-two billion, two hundred million, three hundred twenty thousand, one hundred twenty-one".

Divisors: 1 11 121 1009920001 11109120011 122200320121