Search a number
-
+
12000400124011 = 1347191311932969
BaseRepresentation
bin1010111010100000111110…
…0101100010100001101011
31120111020010111222111202021
42232220033211202201223
53033103304412432021
641304524022045311
72346000050011555
oct256501745424153
946436114874667
1012000400124011
113907383024a02
121419911879837
1369082c575760
142d6b72bb64d5
1515c25810ac41
hexaea0f96286b

12000400124011 has 32 divisors (see below), whose sum is σ = 13272234393600. Its totient is φ = 10781058213120.

The previous prime is 12000400124003. The next prime is 12000400124017. The reversal of 12000400124011 is 11042100400021.

It is a happy number.

12000400124011 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 12000400124011 - 23 = 12000400124003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12000400124017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363973935 + ... + 364006903.

It is an arithmetic number, because the mean of its divisors is an integer number (414757324800).

Almost surely, 212000400124011 is an apocalyptic number.

12000400124011 is a deficient number, since it is larger than the sum of its proper divisors (1271834269589).

12000400124011 is a wasteful number, since it uses less digits than its factorization.

12000400124011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36339.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12000400124011 its reverse (11042100400021), we get a palindrome (23042500524032).

The spelling of 12000400124011 in words is "twelve trillion, four hundred million, one hundred twenty-four thousand, eleven".

Divisors: 1 13 47 191 611 2483 3119 8977 32969 40547 116701 146593 428597 595729 1549543 1905709 6297079 7744477 20144059 27999263 81862027 102830311 295962713 363990419 1336794043 3847515269 4833024617 19640589401 62829320021 255327662213 923107701847 12000400124011