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12211120022200 = 23521143367547643
BaseRepresentation
bin1011000110110001111101…
…1110001010001010111000
31121020101000221122110000221
42301230133132022022320
53100031333211202300
641545413332505424
72400136636415221
oct261543736121270
947211027573027
1012211120022200
113988785a002a0
12145271b47b274
136a767176a448
14303042894248
1516298c74131a
hexb1b1f78a2b8

12211120022200 has 384 divisors, whose sum is σ = 31886079160320. Its totient is φ = 4310702323200.

The previous prime is 12211120022197. The next prime is 12211120022201. The reversal of 12211120022200 is 222002111221.

It is a happy number.

It is a super-2 number, since 2×122111200222002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211120022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18990855079 + ... + 18990855721.

It is an arithmetic number, because the mean of its divisors is an integer number (83036664480).

Almost surely, 212211120022200 is an apocalyptic number.

12211120022200 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 12211120022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943039580160).

12211120022200 is an abundant number, since it is smaller than the sum of its proper divisors (19674959138120).

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

12211120022200 is a wasteful number, since it uses less digits than its factorization.

12211120022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12211120022200 its reverse (222002111221), we get a palindrome (12433122133421).

The spelling of 12211120022200 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, twenty-two thousand, two hundred".