Search a number
-
+
12001123141 = 74364162201
BaseRepresentation
bin10110010110101001…
…01001101101000101
31010222101020020000021
423023110221231011
5144034241420031
65302505415141
7603253602130
oct131324515505
933871206007
1012001123141
1150a9359497
1223ab19a4b1
131193468ac7
1481bc31217
154a38e3511
hex2cb529b45

12001123141 has 16 divisors (see below), whose sum is σ = 14056656768. Its totient is φ = 10031616000.

The previous prime is 12001123133. The next prime is 12001123151. The reversal of 12001123141 is 14132110021.

12001123141 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 12001123141 - 23 = 12001123133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001123111) 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 15 ways as a sum of consecutive naturals, for example, 161841 + ... + 224041.

It is an arithmetic number, because the mean of its divisors is an integer number (878541048).

Almost surely, 212001123141 is an apocalyptic number.

It is an amenable number.

12001123141 is a deficient number, since it is larger than the sum of its proper divisors (2055533627).

12001123141 is an equidigital number, since it uses as much as digits as its factorization.

12001123141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62892.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12001123141 its reverse (14132110021), we get a palindrome (26133233162).

The spelling of 12001123141 in words is "twelve billion, one million, one hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 7 43 301 641 4487 27563 62201 192941 435407 2674643 18722501 39870841 279095887 1714446163 12001123141