Search a number
-
+
122072801797 is a prime number
BaseRepresentation
bin111000110110000011…
…0110010001000000101
3102200002110111212000101
41301230012302020011
54000001114124142
6132025055444101
711551035460222
oct1615406621005
9380073455011
10122072801797
1147852a06861
121b7a9b26631
13b6857715cb
145ca0752949
153296e490b7
hex1c6c1b2205

122072801797 has 2 divisors, whose sum is σ = 122072801798. Its totient is φ = 122072801796.

The previous prime is 122072801791. The next prime is 122072801803. The reversal of 122072801797 is 797108270221.

It is a balanced prime because it is at equal distance from previous prime (122072801791) and next prime (122072801803).

It can be written as a sum of positive squares in only one way, i.e., 83850205761 + 38222596036 = 289569^2 + 195506^2 .

It is an emirp because it is prime and its reverse (797108270221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122072801797 - 211 = 122072799749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122072801791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61036400898 + 61036400899.

It is an arithmetic number, because the mean of its divisors is an integer number (61036400899).

Almost surely, 2122072801797 is an apocalyptic number.

It is an amenable number.

122072801797 is a deficient number, since it is larger than the sum of its proper divisors (1).

122072801797 is an equidigital number, since it uses as much as digits as its factorization.

122072801797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 197568, while the sum is 46.

The spelling of 122072801797 in words is "one hundred twenty-two billion, seventy-two million, eight hundred one thousand, seven hundred ninety-seven".