Search a number
-
+
12040201224 = 23325325712277
BaseRepresentation
bin10110011011010011…
…01110010000001000
31011002002202121001200
423031221232100020
5144124242414344
65310423144200
7604240010322
oct131551562010
934062677050
1012040201224
11511941a427
1224002a5060
13119b59bb2c
148230c4612
154a7062069
hex2cda6e408

12040201224 has 96 divisors (see below), whose sum is σ = 33356133720. Its totient is φ = 3922034688.

The previous prime is 12040201183. The next prime is 12040201231. The reversal of 12040201224 is 42210204021.

It can be written as a sum of positive squares in 4 ways, for example, as 11595413124 + 444788100 = 107682^2 + 21090^2 .

It is a super-2 number, since 2×120402012242 (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 = 12040201197 and 12040201206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974574 + ... + 986850.

Almost surely, 212040201224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12040201224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678066860).

12040201224 is an abundant number, since it is smaller than the sum of its proper divisors (21315932496).

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

12040201224 is a wasteful number, since it uses less digits than its factorization.

12040201224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599 (or 12592 counting only the distinct ones).

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

Adding to 12040201224 its reverse (42210204021), we get a palindrome (54250405245).

The spelling of 12040201224 in words is "twelve billion, forty million, two hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 257 318 424 477 514 636 771 954 1028 1272 1542 1908 2056 2313 3084 3816 4626 6168 9252 12277 13621 18504 24554 27242 36831 40863 49108 54484 73662 81726 98216 108968 110493 122589 147324 163452 220986 245178 294648 326904 441972 490356 650681 883944 980712 1301362 1952043 2602724 3155189 3904086 5205448 5856129 6310378 7808172 9465567 11712258 12620756 15616344 18931134 23424516 25241512 28396701 37862268 46849032 56793402 75724536 113586804 167225017 227173608 334450034 501675051 668900068 1003350102 1337800136 1505025153 2006700204 3010050306 4013400408 6020100612 12040201224