Search a number
-
+
12132012111001 = 181641104567381
BaseRepresentation
bin1011000010001011010001…
…0001011011010010011001
31120221210211210011011210221
42300202310101123102121
53042232330100023001
641445211443440041
72361336366312466
oct260426421332231
946853753134727
1012132012111001
113958180612792
12143b322386021
136a00753bc133
142dd29a3b666d
151608ac73a1a1
hexb08b445b499

12132012111001 has 8 divisors (see below), whose sum is σ = 12218071182408. Its totient is φ = 12046162176000.

The previous prime is 12132012110983. The next prime is 12132012111007. The reversal of 12132012111001 is 10011121023121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2262512347225 + 9869499763776 = 1504165^2 + 3141576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12132012111001 - 225 = 12131978556569 is a prime.

It is a super-2 number, since 2×121320121110012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12132012111007) 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 7 ways as a sum of consecutive naturals, for example, 52167670 + ... + 52399711.

It is an arithmetic number, because the mean of its divisors is an integer number (1527258897801).

Almost surely, 212132012111001 is an apocalyptic number.

It is an amenable number.

12132012111001 is a deficient number, since it is larger than the sum of its proper divisors (86059071407).

12132012111001 is a wasteful number, since it uses less digits than its factorization.

12132012111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104568203.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12132012111001 its reverse (10011121023121), we get a palindrome (22143133134122).

The spelling of 12132012111001 in words is "twelve trillion, one hundred thirty-two billion, twelve million, one hundred eleven thousand, one".

Divisors: 1 181 641 116021 104567381 18926695961 67027691221 12132012111001