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12012201221220 = 223253717399710457
BaseRepresentation
bin1010111011001100111011…
…1111001001110001100100
31120112100120221211100202200
42232303032333021301210
53033301442003034340
641314155024334500
72346565354461024
oct256631677116144
946470527740680
1012012201221220
113911389482a02
121420065a74430
13691990448505
142d7572219a84
1515c6e918c330
hexaeccefc9c64

12012201221220 has 288 divisors, whose sum is σ = 37679459676768. Its totient is φ = 3095259734016.

The previous prime is 12012201221219. The next prime is 12012201221227. The reversal of 12012201221220 is 2212210221021.

It is a happy number.

12012201221220 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 220 + 1 + 221 + 220 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2189091875364 + 9823109345856 = 1479558^2 + 3134184^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12012201221193 and 12012201221202.

It is not an unprimeable number, because it can be changed into a prime (12012201221227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1148718232 + ... + 1148728688.

It is an arithmetic number, because the mean of its divisors is an integer number (130831457211).

Almost surely, 212012201221220 is an apocalyptic number.

12012201221220 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 12012201221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839729838384).

12012201221220 is an abundant number, since it is smaller than the sum of its proper divisors (25667258455548).

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

12012201221220 is a wasteful number, since it uses less digits than its factorization.

12012201221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679 (or 11674 counting only the distinct ones).

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

Adding to 12012201221220 its reverse (2212210221021), we get a palindrome (14224411442241).

The spelling of 12012201221220 in words is "twelve trillion, twelve billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".