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12201221222010 = 23253753383180503
BaseRepresentation
bin1011000110001101000101…
…1101001110111001111010
31121012102111002022021221200
42301203101131032321322
53044401100113101020
641541055203115030
72366336431123362
oct261432135167172
947172432267850
1012201221222010
113984566327197
121450818372a76
136a6754a23922
14302783d559a2
151625ad6c3590
hexb18d174ee7a

12201221222010 has 192 divisors, whose sum is σ = 33282141954048. Its totient is φ = 3097864852992.

The previous prime is 12201221221963. The next prime is 12201221222027. The reversal of 12201221222010 is 1022212210221.

It is a happy number.

12201221222010 is a `hidden beast` number, since 1 + 220 + 1 + 2 + 212 + 220 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67505419 + ... + 67685921.

It is an arithmetic number, because the mean of its divisors is an integer number (173344489344).

Almost surely, 212201221222010 is an apocalyptic number.

12201221222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201221222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641070977024).

12201221222010 is an abundant number, since it is smaller than the sum of its proper divisors (21080920732038).

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

12201221222010 is a wasteful number, since it uses less digits than its factorization.

12201221222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180989 (or 180986 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12201221222010 its reverse (1022212210221), we get a palindrome (13223433432231).

The spelling of 12201221222010 in words is "twelve trillion, two hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, ten".