Search a number
-
+
12120121332 = 22321122782397
BaseRepresentation
bin10110100100110101…
…00101111111110100
31011021200010221211200
423102122211333310
5144310222340312
65322400132500
7606230221464
oct132232457764
934250127750
1012120121332
11515a546600
122423007130
1311b2001a37
1482d969ba4
154ae09c0dc
hex2d26a5ff4

12120121332 has 54 divisors (see below), whose sum is σ = 33675362994. Its totient is φ = 3672762720.

The previous prime is 12120121319. The next prime is 12120121333. The reversal of 12120121332 is 23312102121.

12120121332 is a `hidden beast` number, since 1 + 212 + 0 + 121 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6762759696 + 5357361636 = 82236^2 + 73194^2 .

It is a super-2 number, since 2×121201213322 (a number of 21 digits) contains 22 as substring.

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 (12120121333) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1386843 + ... + 1395554.

Almost surely, 212120121332 is an apocalyptic number.

12120121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120121332 is an abundant number, since it is smaller than the sum of its proper divisors (21555241662).

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

12120121332 is a wasteful number, since it uses less digits than its factorization.

12120121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782429 (or 2782413 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12120121332 its reverse (23312102121), we get a palindrome (35432223453).

The spelling of 12120121332 in words is "twelve billion, one hundred twenty million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 2782397 5564794 8347191 11129588 16694382 25041573 30606367 33388764 50083146 61212734 91819101 100166292 122425468 183638202 275457303 336670037 367276404 550914606 673340074 1010010111 1101829212 1346680148 2020020222 3030030333 4040040444 6060060666 12120121332