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122312001233 is a prime number
BaseRepresentation
bin111000111101001011…
…1010000011011010001
3102200201010121102221202
41301322113100123101
54000443333014413
6132104522400545
711560001566532
oct1617227203321
9380633542852
10122312001233
1147965a32944
121b856060155
13b6c31a1c36
145cc441a689
1532ace47e58
hex1c7a5d06d1

122312001233 has 2 divisors, whose sum is σ = 122312001234. Its totient is φ = 122312001232.

The previous prime is 122312001223. The next prime is 122312001257. The reversal of 122312001233 is 332100213221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68614135249 + 53697865984 = 261943^2 + 231728^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312001233 - 214 = 122311984849 is a prime.

It is not a weakly prime, because it can be changed into another prime (122312001223) 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, 61156000616 + 61156000617.

It is an arithmetic number, because the mean of its divisors is an integer number (61156000617).

Almost surely, 2122312001233 is an apocalyptic number.

It is an amenable number.

122312001233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312001233 is an equidigital number, since it uses as much as digits as its factorization.

122312001233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122312001233 its reverse (332100213221), we get a palindrome (454412214454).

The spelling of 122312001233 in words is "one hundred twenty-two billion, three hundred twelve million, one thousand, two hundred thirty-three".