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122211210121 = 72113131761139
BaseRepresentation
bin111000111010001011…
…0110001001110001001
3102200110002221201112121
41301310112301032021
54000242032210441
6132050522211241
711554336101100
oct1616426611611
9380402851477
10122211210121
1147914051000
121b828353b21
13b6a8342320
145cb4ca1037
1532a4188dd1
hex1c745b1389

122211210121 has 192 divisors, whose sum is σ = 182530817280. Its totient is φ = 80791603200.

The previous prime is 122211210119. The next prime is 122211210139. The reversal of 122211210121 is 121012112221.

It is not a de Polignac number, because 122211210121 - 21 = 122211210119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122211210095 and 122211210104.

It is not an unprimeable number, because it can be changed into a prime (122211210101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 879217270 + ... + 879217408.

It is an arithmetic number, because the mean of its divisors is an integer number (950681340).

Almost surely, 2122211210121 is an apocalyptic number.

122211210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211210121 is a deficient number, since it is larger than the sum of its proper divisors (60319607159).

122211210121 is a wasteful number, since it uses less digits than its factorization.

122211210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122211210121 its reverse (121012112221), we get a palindrome (243223322342).

It can be divided in two parts, 12221 and 1210121, that multiplied together give a palindrome (14788888741).

The spelling of 122211210121 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred ten thousand, one hundred twenty-one".