Search a number
-
+
12120003300040 = 235894916933799
BaseRepresentation
bin1011000001011110100001…
…1111011100101011001000
31120220122211212110101002121
42300113220133130223020
53042033231321100130
641435504101141024
72360432660151016
oct260275037345310
946818755411077
1012120003300040
113953078993329
121438b306ba774
1369bbb049102c
142dc87b5438b6
15160408328d7a
hexb05e87dcac8

12120003300040 has 64 divisors (see below), whose sum is σ = 27632579760000. Its totient is φ = 4783765916160.

The previous prime is 12120003300007. The next prime is 12120003300043. The reversal of 12120003300040 is 4000330002121.

It is a happy number.

12120003300040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12120003299987 and 12120003300023.

It is not an unprimeable number, because it can be changed into a prime (12120003300043) 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, 1718940 + ... + 5214859.

It is an arithmetic number, because the mean of its divisors is an integer number (431759058750).

Almost surely, 212120003300040 is an apocalyptic number.

12120003300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120003300040 is an abundant number, since it is smaller than the sum of its proper divisors (15512576459960).

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

12120003300040 is a wasteful number, since it uses less digits than its factorization.

12120003300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934390 (or 6934386 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12120003300040 its reverse (4000330002121), we get a palindrome (16120333302161).

The spelling of 12120003300040 in words is "twelve trillion, one hundred twenty billion, three million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 491 712 890 982 1780 1964 2455 3560 3928 4910 9820 19640 43699 87398 174796 218495 349592 436990 873980 1747960 6933799 13867598 27735196 34668995 55470392 69337990 138675980 277351960 617108111 1234216222 2468432444 3085540555 3404495309 4936864888 6171081110 6808990618 12342162220 13617981236 17022476545 24684324440 27235962472 34044953090 68089906180 136179812360 303000082501 606000165002 1212000330004 1515000412505 2424000660008 3030000825010 6060001650020 12120003300040