Search a number
-
+
12201133032 = 23371163397
BaseRepresentation
bin10110101110011111…
…01000001111101000
31011111022120210000000
423113033220033220
5144441442224112
65334412343000
7611232630264
oct132717501750
934438523000
1012201133032
1151a1248920
122446174a60
1311c5a2775a
1483a6170a4
154b62507dc
hex2d73e83e8

12201133032 has 128 divisors (see below), whose sum is σ = 37430179200. Its totient is φ = 3697254720.

The previous prime is 12201133013. The next prime is 12201133039. The reversal of 12201133032 is 23033110221.

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 = 12201132996 and 12201133014.

It is not an unprimeable number, because it can be changed into a prime (12201133039) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160758 + ... + 224154.

It is an arithmetic number, because the mean of its divisors is an integer number (292423275).

Almost surely, 212201133032 is an apocalyptic number.

12201133032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18715089600).

12201133032 is an abundant number, since it is smaller than the sum of its proper divisors (25229046168).

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

12201133032 is an equidigital number, since it uses as much as digits as its factorization.

12201133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63435 (or 63413 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12201133032 its reverse (23033110221), we get a palindrome (35234243253).

The spelling of 12201133032 in words is "twelve billion, two hundred one million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1188 1458 1782 1944 2187 2376 2673 2916 3564 4374 5346 5832 7128 8019 8748 10692 16038 17496 21384 24057 32076 48114 63397 64152 96228 126794 190191 192456 253588 380382 507176 570573 697367 760764 1141146 1394734 1521528 1711719 2092101 2282292 2789468 3423438 4184202 4564584 5135157 5578936 6276303 6846876 8368404 10270314 12552606 13693752 15405471 16736808 18828909 20540628 25105212 30810942 37657818 41081256 46216413 50210424 56486727 61621884 75315636 92432826 112973454 123243768 138649239 150631272 169460181 184865652 225946908 277298478 338920362 369731304 451893816 508380543 554596956 677840724 1016761086 1109193912 1355681448 1525141629 2033522172 3050283258 4067044344 6100566516 12201133032