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121332310121 = 11171934149257
BaseRepresentation
bin111000011111111111…
…0000010000001101001
3102121011212010222101202
41300333332002001221
53441442032410441
6131423404253545
711523504422321
oct1607776020151
9377155128352
10121332310121
1147502a20470
121b621b412b5
13b598225959
145c30278281
153251e2919b
hex1c3ff82069

121332310121 has 16 divisors (see below), whose sum is σ = 147524794560. Its totient is φ = 98349857280.

The previous prime is 121332310103. The next prime is 121332310157. The reversal of 121332310121 is 121013233121.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121332310121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121332310093 and 121332310102.

It is not an unprimeable number, because it can be changed into a prime (121332310721) 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 in 15 ways as a sum of consecutive naturals, for example, 17071076 + ... + 17078181.

It is an arithmetic number, because the mean of its divisors is an integer number (9220299660).

Almost surely, 2121332310121 is an apocalyptic number.

121332310121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121332310121 is a deficient number, since it is larger than the sum of its proper divisors (26192484439).

121332310121 is a wasteful number, since it uses less digits than its factorization.

121332310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34149304.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121332310121 its reverse (121013233121), we get a palindrome (242345543242).

The spelling of 121332310121 in words is "one hundred twenty-one billion, three hundred thirty-two million, three hundred ten thousand, one hundred twenty-one".

Divisors: 1 11 17 19 187 209 323 3553 34149257 375641827 580537369 648835883 6385911059 7137194713 11030210011 121332310121