Search a number
-
+
12120120040 = 235743286143
BaseRepresentation
bin10110100100110101…
…00101101011101000
31011021200010220001211
423102122211223220
5144310222320130
65322400122504
7606230214640
oct132232455350
934250126054
1012120120040
11515a545636
122423006434
1311b2001282
1482d969520
154ae09ba2a
hex2d26a5ae8

12120120040 has 32 divisors (see below), whose sum is σ = 31166023680. Its totient is φ = 4155469632.

The previous prime is 12120120011. The next prime is 12120120049. The reversal of 12120120040 is 4002102121.

It is a happy number.

12120120040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12120120040.

It is not an unprimeable number, because it can be changed into a prime (12120120049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21642792 + ... + 21643351.

It is an arithmetic number, because the mean of its divisors is an integer number (973938240).

Almost surely, 212120120040 is an apocalyptic number.

12120120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120120040 is an abundant number, since it is smaller than the sum of its proper divisors (19045903640).

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

12120120040 is a wasteful number, since it uses less digits than its factorization.

12120120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43286161 (or 43286157 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12120120040 its reverse (4002102121), we get a palindrome (16122222161).

The spelling of 12120120040 in words is "twelve billion, one hundred twenty million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 43286143 86572286 173144572 216430715 303003001 346289144 432861430 606006002 865722860 1212012004 1515015005 1731445720 2424024008 3030030010 6060060020 12120120040