Search a number
-
+
12242040120 = 23325311096957
BaseRepresentation
bin10110110011010111…
…01011010100111000
31011121011120001222100
423121223223110320
5200032430240440
65342433223400
7612240424032
oct133153532470
934534501870
1012242040120
115212348a32
122457a01b60
13120134b12b
14841c24c52
154b9b31230
hex2d9aeb538

12242040120 has 96 divisors (see below), whose sum is σ = 41070107520. Its totient is φ = 3159233280.

The previous prime is 12242040079. The next prime is 12242040137. The reversal of 12242040120 is 2104024221.

12242040120 is a `hidden beast` number, since 1 + 2 + 242 + 0 + 401 + 20 = 666.

It is a super-2 number, since 2×122420401202 (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 junction number, because it is equal to n+sod(n) for n = 12242040093 and 12242040102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537319 + ... + 559638.

It is an arithmetic number, because the mean of its divisors is an integer number (427813620).

Almost surely, 212242040120 is an apocalyptic number.

12242040120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12242040120 is an abundant number, since it is smaller than the sum of its proper divisors (28828067400).

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

12242040120 is a wasteful number, since it uses less digits than its factorization.

12242040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097005 (or 1096998 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12242040120 its reverse (2104024221), we get a palindrome (14346064341).

The spelling of 12242040120 in words is "twelve billion, two hundred forty-two million, forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 1096957 2193914 3290871 4387828 5484785 6581742 8775656 9872613 10969570 13163484 16454355 19745226 21939140 26326968 32908710 34005667 39490452 43878280 49363065 65817420 68011334 78980904 98726130 102017001 131634840 136022668 170028335 197452260 204034002 272045336 306051003 340056670 394904520 408068004 510085005 612102006 680113340 816136008 1020170010 1224204012 1360226680 1530255015 2040340020 2448408024 3060510030 4080680040 6121020060 12242040120