Search a number
-
+
12032122310012 = 22711172389161033
BaseRepresentation
bin1010111100010111001001…
…1000000100110101111100
31120121021000021212112012002
42233011302120010311330
53034113241302410022
641331251454401432
72351202131105060
oct257056230046574
946537007775162
1012032122310012
113919881404852
121423aa5500278
1369381668450c
142d8501c3daa0
1515ceb301c092
hexaf172604d7c

12032122310012 has 48 divisors (see below), whose sum is σ = 24096019846080. Its totient is φ = 5149818819072.

The previous prime is 12032122309969. The next prime is 12032122310017. The reversal of 12032122310012 is 21001322123021.

12032122310012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032122310017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74637848 + ... + 74798880.

It is an arithmetic number, because the mean of its divisors is an integer number (502000413460).

Almost surely, 212032122310012 is an apocalyptic number.

It is an amenable number.

12032122310012 is an abundant number, since it is smaller than the sum of its proper divisors (12063897536068).

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

12032122310012 is a wasteful number, since it uses less digits than its factorization.

12032122310012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164550 (or 164548 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12032122310012 its reverse (21001322123021), we get a palindrome (33033444433033).

The spelling of 12032122310012 in words is "twelve trillion, thirty-two billion, one hundred twenty-two million, three hundred ten thousand, twelve".

Divisors: 1 2 4 7 14 28 1117 2234 2389 4468 4778 7819 9556 15638 16723 31276 33446 66892 161033 322066 644132 1127231 2254462 2668513 4508924 5337026 10674052 18679591 37359182 74718364 179873861 359747722 384707837 719495444 769415674 1259117027 1538831348 2518234054 2692954859 5036468108 5385909718 10771819436 429718653929 859437307858 1718874615716 3008030577503 6016061155006 12032122310012