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12211211200 = 26527632007
BaseRepresentation
bin10110101111101100…
…00100101111000000
31011112000112210122111
423113312010233000
5200002032224300
65335412345104
7611414403556
oct132766045700
934460483574
1012211211200
1151a6a01791
122449615194
1311c7b45a76
1483babbbd6
154b70919ba
hex2d7d84bc0

12211211200 has 42 divisors (see below), whose sum is σ = 30047215496. Its totient is φ = 4884483840.

The previous prime is 12211211191. The next prime is 12211211219. The reversal of 12211211200 is 211211221.

12211211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122112112002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 3814404 + ... + 3817603.

Almost surely, 212211211200 is an apocalyptic number.

12211211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211211200 is an abundant number, since it is smaller than the sum of its proper divisors (17836004296).

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

12211211200 is an equidigital number, since it uses as much as digits as its factorization.

12211211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632029 (or 7632014 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12211211200 its reverse (211211221), we get a palindrome (12422422421).

The spelling of 12211211200 in words is "twelve billion, two hundred eleven million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 7632007 15264014 30528028 38160035 61056056 76320070 122112112 152640140 190800175 244224224 305280280 381600350 488448448 610560560 763200700 1221121120 1526401400 2442242240 3052802800 6105605600 12211211200