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12211121000200 = 235261055605001
BaseRepresentation
bin1011000110110001111110…
…0001111000111100001000
31121020101001000111010121011
42301230133201320330020
53100031333434001300
641545413405453304
72400136650630433
oct261543741707410
947211030433534
1012211121000200
113988786509061
12145271b871234
136a7671a20645
14303042a6a81a
1516298c885eba
hexb1b1f878f08

12211121000200 has 24 divisors (see below), whose sum is σ = 28390856325930. Its totient is φ = 4884448400000.

The previous prime is 12211121000189. The next prime is 12211121000227. The reversal of 12211121000200 is 200012111221.

12211121000200 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 3 ways, for example, as 11781548245476 + 429572754724 = 3432426^2 + 655418^2 .

It is a super-2 number, since 2×122111210002002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30527802301 + ... + 30527802700.

Almost surely, 212211121000200 is an apocalyptic number.

12211121000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211121000200 is an abundant number, since it is smaller than the sum of its proper divisors (16179735325730).

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

12211121000200 is a wasteful number, since it uses less digits than its factorization.

12211121000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61055605017 (or 61055605008 counting only the distinct ones).

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

Adding to 12211121000200 its reverse (200012111221), we get a palindrome (12411133111421).

The spelling of 12211121000200 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61055605001 122111210002 244222420004 305278025005 488444840008 610556050010 1221112100020 1526390125025 2442224200040 3052780250050 6105560500100 12211121000200