Search a number
-
+
12144123330 = 2354110395857
BaseRepresentation
bin10110100111101100…
…01001110111000010
31011100100022101101120
423103312021313002
5144332343421310
65325014413110
7606641226243
oct132366116702
934310271346
1012144123330
11517204a669
12242b061196
1311b6c868c1
14832c16cca
154b123db70
hex2d3d89dc2

12144123330 has 64 divisors (see below), whose sum is σ = 30146957568. Its totient is φ = 3128739840.

The previous prime is 12144123323. The next prime is 12144123331. The reversal of 12144123330 is 3332144121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12144123330.

It is not an unprimeable number, because it can be changed into a prime (12144123331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78762 + ... + 174618.

It is an arithmetic number, because the mean of its divisors is an integer number (471046212).

Almost surely, 212144123330 is an apocalyptic number.

12144123330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15073478784).

12144123330 is an abundant number, since it is smaller than the sum of its proper divisors (18002834238).

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

12144123330 is a wasteful number, since it uses less digits than its factorization.

12144123330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96011.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12144123330 its reverse (3332144121), we get a palindrome (15476267451).

The spelling of 12144123330 in words is "twelve billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 103 123 205 206 246 309 410 515 615 618 1030 1230 1545 3090 4223 8446 12669 21115 25338 42230 63345 95857 126690 191714 287571 479285 575142 958570 1437855 2875710 3930137 7860274 9873271 11790411 19650685 19746542 23580822 29619813 39301370 49366355 58952055 59239626 98732710 117904110 148099065 296198130 404804111 809608222 1214412333 2024020555 2428824666 4048041110 6072061665 12144123330