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122031213121 is a prime number
BaseRepresentation
bin111000110100110100…
…0001000101001000001
3102122222120020221002001
41301221220020221001
53444404442304441
6132021012224001
711550022124356
oct1615150105101
9378876227061
10122031213121
1147831490654
121b79800b001
13b679c6c91c
145c9900862d
153293481731
hex1c69a08a41

122031213121 has 2 divisors, whose sum is σ = 122031213122. Its totient is φ = 122031213120.

The previous prime is 122031213119. The next prime is 122031213131. The reversal of 122031213121 is 121312130221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66648650896 + 55382562225 = 258164^2 + 235335^2 .

It is a cyclic number.

It is not a de Polignac number, because 122031213121 - 21 = 122031213119 is a prime.

Together with 122031213119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122031213131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61015606560 + 61015606561.

It is an arithmetic number, because the mean of its divisors is an integer number (61015606561).

Almost surely, 2122031213121 is an apocalyptic number.

It is an amenable number.

122031213121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122031213121 is an equidigital number, since it uses as much as digits as its factorization.

122031213121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122031213121 its reverse (121312130221), we get a palindrome (243343343342).

The spelling of 122031213121 in words is "one hundred twenty-two billion, thirty-one million, two hundred thirteen thousand, one hundred twenty-one".