Search a number
-
+
12120041241 = 3271126366499
BaseRepresentation
bin10110100100110100…
…10010011100011001
31011021122222212222100
423102122102130121
5144310212304431
65322354314013
7606226436130
oct132232223431
934248885870
1012120041241
11515a4a1410
122422b88909
1311b1ca4449
1482d948917
154ae0834e6
hex2d2692719

12120041241 has 48 divisors (see below), whose sum is σ = 21909888000. Its totient is φ = 6272091360.

The previous prime is 12120041239. The next prime is 12120041243. The reversal of 12120041241 is 14214002121.

12120041241 is a `hidden beast` number, since 1 + 212 + 0 + 0 + 412 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (12120041239) and next prime (12120041243).

It is not a de Polignac number, because 12120041241 - 21 = 12120041239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12120041243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149010 + ... + 215508.

It is an arithmetic number, because the mean of its divisors is an integer number (456456000).

Almost surely, 212120041241 is an apocalyptic number.

12120041241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12120041241 is a deficient number, since it is larger than the sum of its proper divisors (9789846759).

12120041241 is a wasteful number, since it uses less digits than its factorization.

12120041241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66786 (or 66783 counting only the distinct ones).

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

Adding to 12120041241 its reverse (14214002121), we get a palindrome (26334043362).

The spelling of 12120041241 in words is "twelve billion, one hundred twenty million, forty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 263 693 789 1841 2367 2893 5523 8679 16569 20251 26037 60753 66499 182259 199497 465493 598491 731489 1396479 2194467 4189437 5120423 6583401 15361269 17489237 46083807 52467711 122424659 157403133 192381607 367273977 577144821 1101821931 1346671249 1731434463 4040013747 12120041241