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12220032200 = 2352157389173
BaseRepresentation
bin10110110000101111…
…01110010011001000
31011112122010221210012
423120113232103020
5200011312012300
65340325411052
7611552363015
oct133027562310
934478127705
1012220032200
115200987072
122450569a88
1311c9913aac
1483cd3670c
154b7c35435
hex2d85ee4c8

12220032200 has 48 divisors (see below), whose sum is σ = 28592613780. Its totient is φ = 4856866560.

The previous prime is 12220032199. The next prime is 12220032257. The reversal of 12220032200 is 223002221.

12220032200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3511036516 + 8708995684 = 59254^2 + 93322^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 163187 + ... + 225986.

Almost surely, 212220032200 is an apocalyptic number.

12220032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220032200 is an abundant number, since it is smaller than the sum of its proper divisors (16372581580).

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

12220032200 is a wasteful number, since it uses less digits than its factorization.

12220032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389346 (or 389337 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12220032200 its reverse (223002221), we get a palindrome (12443034421).

The spelling of 12220032200 in words is "twelve billion, two hundred twenty million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 31400 389173 778346 1556692 1945865 3113384 3891730 7783460 9729325 15566920 19458650 38917300 61100161 77834600 122200322 244400644 305500805 488801288 611001610 1222003220 1527504025 2444006440 3055008050 6110016100 12220032200