Search a number
-
+
122400122629 is a prime number
BaseRepresentation
bin111000111111110011…
…1011010011100000101
3102200221021102110210011
41301333213122130011
54001133412411004
6132121351230221
711562121606321
oct1617747323405
9380837373704
10122400122629
1147a00750844
121b87b678371
13b708516a85
145cd1dd8981
1532b5a53004
hex1c7f9da705

122400122629 has 2 divisors, whose sum is σ = 122400122630. Its totient is φ = 122400122628.

The previous prime is 122400122609. The next prime is 122400122707. The reversal of 122400122629 is 926221004221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70276949604 + 52123173025 = 265098^2 + 228305^2 .

It is an emirp because it is prime and its reverse (926221004221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122400122629 - 231 = 120252638981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122400122629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122400122609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61200061314 + 61200061315.

It is an arithmetic number, because the mean of its divisors is an integer number (61200061315).

Almost surely, 2122400122629 is an apocalyptic number.

It is an amenable number.

122400122629 is a deficient number, since it is larger than the sum of its proper divisors (1).

122400122629 is an equidigital number, since it uses as much as digits as its factorization.

122400122629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 122400122629 in words is "one hundred twenty-two billion, four hundred million, one hundred twenty-two thousand, six hundred twenty-nine".