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121000121112123 = 32111222223445577
BaseRepresentation
bin11011100000110010001001…
…001111001001011000111011
3120212102111110111002121000200
4123200302021033021120323
5111324431222001041443
61105202404355133243
734325653541315601
oct3340621117113073
9525374414077020
10121000121112123
11356109549a0470
12116a27738a4223
13526935481b696
1421c4619601871
15dec756841dd3
hex6e0c893c963b

121000121112123 has 12 divisors (see below), whose sum is σ = 190666857510168. Its totient is φ = 73333406734560.

The previous prime is 121000121112077. The next prime is 121000121112151. The reversal of 121000121112123 is 321211121000121.

It is a happy number.

It is not a de Polignac number, because 121000121112123 - 238 = 120725243205179 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121000121112096 and 121000121112105.

It is not an unprimeable number, because it can be changed into a prime (121000121112323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611111722690 + ... + 611111722887.

It is an arithmetic number, because the mean of its divisors is an integer number (15888904792514).

Almost surely, 2121000121112123 is an apocalyptic number.

121000121112123 is a deficient number, since it is larger than the sum of its proper divisors (69666736398045).

121000121112123 is a wasteful number, since it uses less digits than its factorization.

121000121112123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222223445594 (or 1222223445591 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 121000121112123 its reverse (321211121000121), we get a palindrome (442211242112244).

The spelling of 121000121112123 in words is "one hundred twenty-one trillion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 99 1222223445577 3666670336731 11000011010193 13444457901347 40333373704041 121000121112123