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122131012321 is a prime number
BaseRepresentation
bin111000110111110010…
…0110101101011100001
3102200020112001020211201
41301233210311223201
54000111014343241
6132034535241201
711552343322213
oct1615744655341
9380215036751
10122131012321
114788285522a
121b805519201
13b694842bc6
145ca83865b3
15329c0e6931
hex1c6f935ae1

122131012321 has 2 divisors, whose sum is σ = 122131012322. Its totient is φ = 122131012320.

The previous prime is 122131012303. The next prime is 122131012331. The reversal of 122131012321 is 123210131221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120006816400 + 2124195921 = 346420^2 + 46089^2 .

It is a cyclic number.

It is not a de Polignac number, because 122131012321 - 213 = 122131004129 is a prime.

It is not a weakly prime, because it can be changed into another prime (122131012331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065506160 + 61065506161.

It is an arithmetic number, because the mean of its divisors is an integer number (61065506161).

Almost surely, 2122131012321 is an apocalyptic number.

It is an amenable number.

122131012321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131012321 is an equidigital number, since it uses as much as digits as its factorization.

122131012321 is an odious number, because the sum of its binary digits is odd.

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

Adding to 122131012321 its reverse (123210131221), we get a palindrome (245341143542).

The spelling of 122131012321 in words is "one hundred twenty-two billion, one hundred thirty-one million, twelve thousand, three hundred twenty-one".