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12012201252 = 22326115734841
BaseRepresentation
bin10110010111111101…
…11010010100100100
31011000011002001022200
423023332322110210
5144100110420002
65303543054500
7603450011622
oct131376722444
934004061280
1012012201252
115104635657
1223b2a41430
1311958472bc
1481d4b6512
154a4880b1c
hex2cbfba524

12012201252 has 72 divisors (see below), whose sum is σ = 31059413112. Its totient is φ = 3913228800.

The previous prime is 12012201233. The next prime is 12012201263. The reversal of 12012201252 is 25210221021.

It can be written as a sum of positive squares in 4 ways, for example, as 543076416 + 11469124836 = 23304^2 + 107094^2 .

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

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, 327352 + ... + 362192.

Almost surely, 212012201252 is an apocalyptic number.

12012201252 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 12012201252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15529706556).

12012201252 is an abundant number, since it is smaller than the sum of its proper divisors (19047211860).

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

12012201252 is a wasteful number, since it uses less digits than its factorization.

12012201252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35069 (or 35064 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12012201252 its reverse (25210221021), we get a palindrome (37222422273).

The spelling of 12012201252 in words is "twelve billion, twelve million, two hundred one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 157 183 244 314 366 471 549 628 732 942 1098 1413 1884 2196 2826 5652 9577 19154 28731 34841 38308 57462 69682 86193 104523 114924 139364 172386 209046 313569 344772 418092 627138 1254276 2125301 4250602 5470037 6375903 8501204 10940074 12751806 16410111 19127709 21880148 25503612 32820222 38255418 49230333 65640444 76510836 98460666 196921332 333672257 667344514 1001016771 1334689028 2002033542 3003050313 4004067084 6006100626 12012201252