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12001221212202 = 23720171360319
BaseRepresentation
bin1010111010100100000010…
…0001101111100000101010
31120111022020202000010000000
42232221000201233200222
53033112000112242302
641305141312523430
72346026310105645
oct256510041574052
946438222003000
1012001221212202
113907764559692
121419b00850576
13690930700161
142d6c0dc70a5c
1515c2a524b31c
hexaea4086f82a

12001221212202 has 64 divisors (see below), whose sum is σ = 27012037478400. Its totient is φ = 3998420786304.

The previous prime is 12001221212173. The next prime is 12001221212291. The reversal of 12001221212202 is 20221212210021.

It is a happy number.

12001221212202 is a `hidden beast` number, since 1 + 200 + 1 + 221 + 21 + 220 + 2 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142199 + ... + 9502517.

It is an arithmetic number, because the mean of its divisors is an integer number (422063085600).

Almost surely, 212001221212202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001221212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506018739200).

12001221212202 is an abundant number, since it is smaller than the sum of its proper divisors (15010816266198).

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

12001221212202 is an equidigital number, since it uses as much as digits as its factorization.

12001221212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362359 (or 1362341 counting only the distinct ones).

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

Adding to 12001221212202 its reverse (20221212210021), we get a palindrome (32222433422223).

The spelling of 12001221212202 in words is "twelve trillion, one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2017 2187 4034 4374 6051 12102 18153 36306 54459 108918 163377 326754 490131 980262 1360319 1470393 2720638 2940786 4080957 4411179 8161914 8822358 12242871 24485742 36728613 73457226 110185839 220371678 330557517 661115034 991672551 1983345102 2743763423 2975017653 5487526846 5950035306 8231290269 16462580538 24693870807 49387741614 74081612421 148163224842 222244837263 444489674526 666734511789 1333469023578 2000203535367 4000407070734 6000610606101 12001221212202