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122068393201 is a prime number
BaseRepresentation
bin111000110101111010…
…1111101110011110001
3102200002011012212120001
41301223311331303301
53444444002040301
6132024421150001
711550653136166
oct1615365756361
9380064185501
10122068393201
1147850475597
121b7a855b301
13b684889a81
145c9dd2606d
153296877c01
hex1c6bd7dcf1

122068393201 has 2 divisors, whose sum is σ = 122068393202. Its totient is φ = 122068393200.

The previous prime is 122068393177. The next prime is 122068393207. The reversal of 122068393201 is 102393860221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62787830625 + 59280562576 = 250575^2 + 243476^2 .

It is a cyclic number.

It is not a de Polignac number, because 122068393201 - 25 = 122068393169 is a prime.

It is not a weakly prime, because it can be changed into another prime (122068393207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61034196600 + 61034196601.

It is an arithmetic number, because the mean of its divisors is an integer number (61034196601).

Almost surely, 2122068393201 is an apocalyptic number.

It is an amenable number.

122068393201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122068393201 is an equidigital number, since it uses as much as digits as its factorization.

122068393201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 122068393201 in words is "one hundred twenty-two billion, sixty-eight million, three hundred ninety-three thousand, two hundred one".