Search a number
-
+
122121022212031 is a prime number
BaseRepresentation
bin11011110001000110000100…
…001001100000011110111111
3121000101122201000021020200211
4123301012010021200132333
5112001312323141241111
61111421342331533251
734502644526416513
oct3361060411403677
9530348630236624
10122121022212031
1135a03264394147
1211843a572ba227
13531ac6989179b
142222990916143
15e1b9ac206521
hex6f11842607bf

122121022212031 has 2 divisors, whose sum is σ = 122121022212032. Its totient is φ = 122121022212030.

The previous prime is 122121022211999. The next prime is 122121022212107. The reversal of 122121022212031 is 130212220121221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122121022212031 - 25 = 122121022211999 is a prime.

It is a super-2 number, since 2×1221210222120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122121022211993 and 122121022212011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121022218031) 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 as a sum of consecutive naturals, namely, 61060511106015 + 61060511106016.

It is an arithmetic number, because the mean of its divisors is an integer number (61060511106016).

Almost surely, 2122121022212031 is an apocalyptic number.

122121022212031 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121022212031 is an equidigital number, since it uses as much as digits as its factorization.

122121022212031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 122121022212031 its reverse (130212220121221), we get a palindrome (252333242333252).

The spelling of 122121022212031 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty-two million, two hundred twelve thousand, thirty-one".