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122022220973 is a prime number
BaseRepresentation
bin111000110100100010…
…1110101010010101101
3102122221221100002011112
41301221011311102231
53444400142032343
6132020051401405
711546552523242
oct1615105652255
9378857302145
10122022220973
11478273a9724
121b794bb3265
13b678141a23
145c97b475c9
1532927a7218
hex1c691754ad

122022220973 has 2 divisors, whose sum is σ = 122022220974. Its totient is φ = 122022220972.

The previous prime is 122022220963. The next prime is 122022221017. The reversal of 122022220973 is 379022220221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115112954089 + 6909266884 = 339283^2 + 83122^2 .

It is a cyclic number.

It is not a de Polignac number, because 122022220973 - 26 = 122022220909 is a prime.

It is a super-2 number, since 2×1220222209732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122022220963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011110486 + 61011110487.

It is an arithmetic number, because the mean of its divisors is an integer number (61011110487).

Almost surely, 2122022220973 is an apocalyptic number.

It is an amenable number.

122022220973 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022220973 is an equidigital number, since it uses as much as digits as its factorization.

122022220973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 122022220973 in words is "one hundred twenty-two billion, twenty-two million, two hundred twenty thousand, nine hundred seventy-three".