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12210452000 = 25534370991
BaseRepresentation
bin10110101111100110…
…01011011000100000
31011111222010020012222
423113303023120200
5200001333431000
65335344210212
7611405062265
oct132763133040
934458106188
1012210452000
1151a653334a
122449309968
1311c793b336
1483b96126c
154b6e91a85
hex2d7ccb620

12210452000 has 96 divisors (see below), whose sum is σ = 30699212544. Its totient is φ = 4770528000.

The previous prime is 12210451999. The next prime is 12210452003. The reversal of 12210452000 is 25401221.

12210452000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12210452000.

It is not an unprimeable number, because it can be changed into a prime (12210452003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136505 + ... + 207495.

It is an arithmetic number, because the mean of its divisors is an integer number (319783464).

Almost surely, 212210452000 is an apocalyptic number.

12210452000 is a gapful number since it is divisible by the number (10) 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 12210452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15349606272).

12210452000 is an abundant number, since it is smaller than the sum of its proper divisors (18488760544).

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

12210452000 is an equidigital number, since it uses as much as digits as its factorization.

12210452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71059 (or 71041 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 12210452000 its reverse (25401221), we get a palindrome (12235853221).

The spelling of 12210452000 in words is "twelve billion, two hundred ten million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 17200 21500 34400 43000 70991 86000 141982 172000 283964 354955 567928 709910 1135856 1419820 1774775 2271712 2839640 3052613 3549550 5679280 6105226 7099100 8873875 11358560 12210452 14198200 15263065 17747750 24420904 28396400 30526130 35495500 48841808 56792800 61052260 70991000 76315325 97683616 122104520 141982000 152630650 244209040 283964000 305261300 381576625 488418080 610522600 763153250 1221045200 1526306500 2442090400 3052613000 6105226000 12210452000