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122123401143049 is a prime number
BaseRepresentation
bin11011110001001000010001…
…111100011010001100001001
3121000101212211210122110120001
4123301020101330122030021
5112001332211143034144
61111422414352403001
734503060504122455
oct3361102174321411
9530355753573501
10122123401143049
1135a04275216239
12118443bbb46461
13531b2586b1587
142222b3884d665
15e1ba9aeb9bd4
hex6f1211f1a309

122123401143049 has 2 divisors, whose sum is σ = 122123401143050. Its totient is φ = 122123401143048.

The previous prime is 122123401142959. The next prime is 122123401143137. The reversal of 122123401143049 is 940341104321221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121989816010000 + 133585133049 = 11044900^2 + 365493^2 .

It is a cyclic number.

It is not a de Polignac number, because 122123401143049 - 219 = 122123400618761 is a prime.

It is a super-2 number, since 2×1221234011430492 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122123401142999 and 122123401143017.

It is not a weakly prime, because it can be changed into another prime (122123401123049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061700571524 + 61061700571525.

It is an arithmetic number, because the mean of its divisors is an integer number (61061700571525).

Almost surely, 2122123401143049 is an apocalyptic number.

It is an amenable number.

122123401143049 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123401143049 is an equidigital number, since it uses as much as digits as its factorization.

122123401143049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 122123401143049 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, four hundred one million, one hundred forty-three thousand, forty-nine".