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122862625201 is a prime number
BaseRepresentation
bin111001001101100101…
…1101110000110110001
3102202010111201001001001
41302123023232012301
54003110313001301
6132235312242001
711606436040321
oct1623313560661
9382114631031
10122862625201
1148118826878
121b98a540301
13b7802a0434
145d375cd281
1532e1460c01
hex1c9b2ee1b1

122862625201 has 2 divisors, whose sum is σ = 122862625202. Its totient is φ = 122862625200.

The previous prime is 122862625189. The next prime is 122862625229. The reversal of 122862625201 is 102526268221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79072877601 + 43789747600 = 281199^2 + 209260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122862625201 is a prime.

It is a super-3 number, since 3×1228626252013 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (122860625201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61431312600 + 61431312601.

It is an arithmetic number, because the mean of its divisors is an integer number (61431312601).

Almost surely, 2122862625201 is an apocalyptic number.

It is an amenable number.

122862625201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122862625201 is an equidigital number, since it uses as much as digits as its factorization.

122862625201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 122862625201 in words is "one hundred twenty-two billion, eight hundred sixty-two million, six hundred twenty-five thousand, two hundred one".