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122941772801 is a prime number
BaseRepresentation
bin111001001111111100…
…1101001010000000001
3102202100000122011010122
41302133321221100001
54003241043212201
6132251220510025
711611416553331
oct1623771512001
9382300564118
10122941772801
1148159475611
121b9b0b4b315
13b7937c2833
145d43d130c1
1532e8396e1b
hex1c9fe69401

122941772801 has 2 divisors, whose sum is σ = 122941772802. Its totient is φ = 122941772800.

The previous prime is 122941772783. The next prime is 122941772939. The reversal of 122941772801 is 108277149221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100314092176 + 22627680625 = 316724^2 + 150425^2 .

It is a cyclic number.

It is not a de Polignac number, because 122941772801 - 214 = 122941756417 is a prime.

It is a super-2 number, since 2×1229417728012 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122941772501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61470886400 + 61470886401.

It is an arithmetic number, because the mean of its divisors is an integer number (61470886401).

Almost surely, 2122941772801 is an apocalyptic number.

It is an amenable number.

122941772801 is a deficient number, since it is larger than the sum of its proper divisors (1).

122941772801 is an equidigital number, since it uses as much as digits as its factorization.

122941772801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112896, while the sum is 44.

The spelling of 122941772801 in words is "one hundred twenty-two billion, nine hundred forty-one million, seven hundred seventy-two thousand, eight hundred one".