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122040385729 is a prime number
BaseRepresentation
bin111000110101000101…
…1001000000011000001
3102200000012111221112021
41301222023020003001
53444414314320404
6132021541001441
711550163106563
oct1615213100301
9380005457467
10122040385729
1147836686119
121b79b0b3281
13b67bb319c2
145c9a315333
153294194454
hex1c6a2c80c1

122040385729 has 2 divisors, whose sum is σ = 122040385730. Its totient is φ = 122040385728.

The previous prime is 122040385717. The next prime is 122040385739. The reversal of 122040385729 is 927583040221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92918280625 + 29122105104 = 304825^2 + 170652^2 .

It is a cyclic number.

It is not a de Polignac number, because 122040385729 - 27 = 122040385601 is a prime.

It is a super-2 number, since 2×1220403857292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122040385739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61020192864 + 61020192865.

It is an arithmetic number, because the mean of its divisors is an integer number (61020192865).

Almost surely, 2122040385729 is an apocalyptic number.

It is an amenable number.

122040385729 is a deficient number, since it is larger than the sum of its proper divisors (1).

122040385729 is an equidigital number, since it uses as much as digits as its factorization.

122040385729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 122040385729 in words is "one hundred twenty-two billion, forty million, three hundred eighty-five thousand, seven hundred twenty-nine".