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122016222001 is a prime number
BaseRepresentation
bin111000110100010111…
…0111100101100110001
3102122221112001022010101
41301220232330230301
53444342123101001
6132015315032401
711546450526442
oct1615056745461
9378845038111
10122016222001
1147823a815a3
121b792b9b701
13b676b2133b
145c970252c9
153291ebea01
hex1c68bbcb31

122016222001 has 2 divisors, whose sum is σ = 122016222002. Its totient is φ = 122016222000.

The previous prime is 122016221993. The next prime is 122016222007. The reversal of 122016222001 is 100222610221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109561662001 + 12454560000 = 331001^2 + 111600^2 .

It is a cyclic number.

It is not a de Polignac number, because 122016222001 - 23 = 122016221993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122016222001.

It is not a weakly prime, because it can be changed into another prime (122016222007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61008111000 + 61008111001.

It is an arithmetic number, because the mean of its divisors is an integer number (61008111001).

Almost surely, 2122016222001 is an apocalyptic number.

It is an amenable number.

122016222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122016222001 is an equidigital number, since it uses as much as digits as its factorization.

122016222001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122016222001 its reverse (100222610221), we get a palindrome (222238832222).

The spelling of 122016222001 in words is "one hundred twenty-two billion, sixteen million, two hundred twenty-two thousand, one".