Search a number
-
+
12120002112121 = 1717328314562007
BaseRepresentation
bin1011000001011110100001…
…1010111010101001111001
31120220122211210020000120121
42300113220122322221321
53042033231020041441
641435504015453241
72360432644102501
oct260275032725171
946818753200517
1012120002112121
113953078251882
121438b30227221
1369bbb0166417
142dc87b314a01
15160408191dd1
hexb05e86baa79

12120002112121 has 16 divisors (see below), whose sum is σ = 12952731371904. Its totient is φ = 11301048624384.

The previous prime is 12120002112107. The next prime is 12120002112143. The reversal of 12120002112121 is 12121120002121.

It is a cyclic number.

It is not a de Polignac number, because 12120002112121 - 217 = 12120001981049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12120002112095 and 12120002112104.

It is not an unprimeable number, because it can be changed into a prime (12120002110121) 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 15 ways as a sum of consecutive naturals, for example, 6448701 + ... + 8113306.

It is an arithmetic number, because the mean of its divisors is an integer number (809545710744).

Almost surely, 212120002112121 is an apocalyptic number.

It is an amenable number.

12120002112121 is a deficient number, since it is larger than the sum of its proper divisors (832729259783).

12120002112121 is a wasteful number, since it uses less digits than its factorization.

12120002112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14562480.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12120002112121 its reverse (12121120002121), we get a palindrome (24241122114242).

The spelling of 12120002112121 in words is "twelve trillion, one hundred twenty billion, two million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 17 173 283 2941 4811 48959 832303 14562007 247554119 2519227211 4121047981 42826862587 70057815677 712941300713 12120002112121