Search a number
-
+
12120011001 = 327192381127
BaseRepresentation
bin10110100100110100…
…01011000011111001
31011021122221100111100
423102122023003321
5144310210323001
65322353522013
7606226252020
oct132232130371
934248840440
1012120011001
11515a48071a
122422b73309
1311b1c93757
1482d93b8b7
154ae079586
hex2d268b0f9

12120011001 has 12 divisors (see below), whose sum is σ = 20007637312. Its totient is φ = 6925720536.

The previous prime is 12120010997. The next prime is 12120011039. The reversal of 12120011001 is 10011002121.

It is a happy number.

12120011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12120011001 - 22 = 12120010997 is a prime.

It is a super-2 number, since 2×121200110012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12120011041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96190501 + ... + 96190626.

Almost surely, 212120011001 is an apocalyptic number.

It is an amenable number.

12120011001 is a deficient number, since it is larger than the sum of its proper divisors (7887626311).

12120011001 is a wasteful number, since it uses less digits than its factorization.

12120011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192381140 (or 192381137 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12120011001 its reverse (10011002121), we get a palindrome (22131013122).

The spelling of 12120011001 in words is "twelve billion, one hundred twenty million, eleven thousand, one".

Divisors: 1 3 7 9 21 63 192381127 577143381 1346667889 1731430143 4040003667 12120011001