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12201222212000 = 255397163192923
BaseRepresentation
bin1011000110001101000110…
…0001000000100110100000
31121012102111011011120221222
42301203101201000212200
53044401100341241000
641541055240234212
72366336442415553
oct261432141004640
947172434146858
1012201222212000
113984566942a68
12145081876b968
136a6754cac413
1430278413269a
151625ad81ba85
hexb18d18409a0

12201222212000 has 192 divisors, whose sum is σ = 30473429261184. Its totient is φ = 4800516710400.

The previous prime is 12201222211951. The next prime is 12201222212009. The reversal of 12201222212000 is 21222210221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12201222212000.

It is not an unprimeable number, because it can be changed into a prime (12201222212009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63147539 + ... + 63340461.

It is an arithmetic number, because the mean of its divisors is an integer number (158715777402).

Almost surely, 212201222212000 is an apocalyptic number.

12201222212000 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 12201222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15236714630592).

12201222212000 is an abundant number, since it is smaller than the sum of its proper divisors (18272207049184).

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

12201222212000 is a wasteful number, since it uses less digits than its factorization.

12201222212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193208 (or 193190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12201222212000 its reverse (21222210221), we get a palindrome (12222444422221).

The spelling of 12201222212000 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, two hundred twelve thousand".