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12201220001220 = 22352329614998001
BaseRepresentation
bin1011000110001101000101…
…1000100100110111000100
31121012102111000000021100020
42301203101120210313010
53044401044310014340
641541055121015140
72366336414550255
oct261432130446704
947172430007306
1012201220001220
113984565672a78
121450817a844b0
136a67546b7073
14302783b18b2c
151625ad5319d0
hexb18d1624dc4

12201220001220 has 192 divisors, whose sum is σ = 37482615959040. Its totient is φ = 2955617280000.

The previous prime is 12201220001213. The next prime is 12201220001239. The reversal of 12201220001220 is 2210002210221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12201220001220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57781 + ... + 4940220.

It is an arithmetic number, because the mean of its divisors is an integer number (195221958120).

Almost surely, 212201220001220 is an apocalyptic number.

12201220001220 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 12201220001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18741307979520).

12201220001220 is an abundant number, since it is smaller than the sum of its proper divisors (25281395957820).

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

12201220001220 is a wasteful number, since it uses less digits than its factorization.

12201220001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998126 (or 4998124 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12201220001220 its reverse (2210002210221), we get a palindrome (14411222211441).

The spelling of 12201220001220 in words is "twelve trillion, two hundred one billion, two hundred twenty million, one thousand, two hundred twenty".