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122120212221121 is a prime number
BaseRepresentation
bin11011110001000101010011…
…110111101000110011000001
3121000101120121120010110001111
4123301011103313220303001
5112001304143312033441
61111421130115003321
734502615462542132
oct3361052367506301
9530346546113044
10122120212221121
1135a02989149a74
121184386bb99541
13531ab6ab2121a
142222915109c89
15e1b961059081
hex6f1153de8cc1

122120212221121 has 2 divisors, whose sum is σ = 122120212221122. Its totient is φ = 122120212221120.

The previous prime is 122120212221107. The next prime is 122120212221149. The reversal of 122120212221121 is 121122212021221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118601661612721 + 3518550608400 = 10890439^2 + 1875780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122120212221121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122120212221092 and 122120212221101.

It is not a weakly prime, because it can be changed into another prime (122120212221151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060106110560 + 61060106110561.

It is an arithmetic number, because the mean of its divisors is an integer number (61060106110561).

Almost surely, 2122120212221121 is an apocalyptic number.

It is an amenable number.

122120212221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120212221121 is an equidigital number, since it uses as much as digits as its factorization.

122120212221121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122120212221121 its reverse (121122212021221), we get a palindrome (243242424242342).

The spelling of 122120212221121 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".