Search a number
-
+
12042011412 = 2232334500317
BaseRepresentation
bin10110011011100001…
…01000001100010100
31011002020011120011200
423031300220030110
5144130223331122
65310530032500
7604261256664
oct131560501424
934066146150
1012042011412
11511a446452
122400a18730
13119ba83a52
148234361a4
154a72bd5ac
hex2cdc28314

12042011412 has 18 divisors (see below), whose sum is σ = 30439528938. Its totient is φ = 4014003792.

The previous prime is 12042011407. The next prime is 12042011413. The reversal of 12042011412 is 21411024021.

12042011412 is a `hidden beast` number, since 120 + 420 + 114 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9601256196 + 2440755216 = 97986^2 + 49404^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042011413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167250123 + ... + 167250194.

It is an arithmetic number, because the mean of its divisors is an integer number (1691084941).

Almost surely, 212042011412 is an apocalyptic number.

12042011412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12042011412 is an abundant number, since it is smaller than the sum of its proper divisors (18397517526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12042011412 is a wasteful number, since it uses less digits than its factorization.

12042011412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334500327 (or 334500322 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12042011412 its reverse (21411024021), we get a palindrome (33453035433).

The spelling of 12042011412 in words is "twelve billion, forty-two million, eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 334500317 669000634 1003500951 1338001268 2007001902 3010502853 4014003804 6021005706 12042011412