Search a number
-
+
12120144030 = 2325592282513
BaseRepresentation
bin10110100100110101…
…01011100010011110
31011021200012002222100
423102122223202132
5144310224102110
65322400425530
7606230344611
oct132232534236
934250162870
1012120144030
11515a561665
1224230182a6
1311b200c177
1482d974178
154ae0a3bc0
hex2d26ab89e

12120144030 has 48 divisors (see below), whose sum is σ = 32046496560. Its totient is φ = 3177256704.

The previous prime is 12120144017. The next prime is 12120144031. The reversal of 12120144030 is 3044102121.

12120144030 is a `hidden beast` number, since 1 + 21 + 201 + 440 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12120143994 and 12120144012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120144031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135947 + ... + 1146566.

It is an arithmetic number, because the mean of its divisors is an integer number (667635345).

Almost surely, 212120144030 is an apocalyptic number.

12120144030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120144030 is an abundant number, since it is smaller than the sum of its proper divisors (19926352530).

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

12120144030 is a wasteful number, since it uses less digits than its factorization.

12120144030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282585 (or 2282582 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12120144030 its reverse (3044102121), we get a palindrome (15164246151).

The spelling of 12120144030 in words is "twelve billion, one hundred twenty million, one hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 5310 2282513 4565026 6847539 11412565 13695078 20542617 22825130 34237695 41085234 68475390 102713085 134668267 205426170 269336534 404004801 673341335 808009602 1212014403 1346682670 2020024005 2424028806 4040048010 6060072015 12120144030