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122012210113 is a prime number
BaseRepresentation
bin111000110100001111…
…1101001001111000001
3102122221020111110211221
41301220133221033001
53444340111210423
6132015053035041
711546401450123
oct1615037511701
9378836443757
10122012210113
1147821791392
121b791785a81
13b676048241
145c9669d213
15329197ae5d
hex1c687e93c1

122012210113 has 2 divisors, whose sum is σ = 122012210114. Its totient is φ = 122012210112.

The previous prime is 122012210107. The next prime is 122012210129. The reversal of 122012210113 is 311012210221.

It is an a-pointer prime, because the next prime (122012210129) can be obtained adding 122012210113 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106518682384 + 15493527729 = 326372^2 + 124473^2 .

It is a cyclic number.

It is not a de Polignac number, because 122012210113 - 29 = 122012209601 is a prime.

It is not a weakly prime, because it can be changed into another prime (122012210213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006105056 + 61006105057.

It is an arithmetic number, because the mean of its divisors is an integer number (61006105057).

Almost surely, 2122012210113 is an apocalyptic number.

It is an amenable number.

122012210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122012210113 is an equidigital number, since it uses as much as digits as its factorization.

122012210113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122012210113 its reverse (311012210221), we get a palindrome (433024420334).

The spelling of 122012210113 in words is "one hundred twenty-two billion, twelve million, two hundred ten thousand, one hundred thirteen".