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121222211220000 = 25325411193222281
BaseRepresentation
bin11011100100000000111110…
…110101101011001000100000
3120220012201201022211000202200
4123210000332311223020200
5111342101042033020000
61105452414241013200
734351005254143512
oct3344007665531040
9526181638730680
10121222211220000
1135697061a82670
1211719815324200
13528428954b8b7
1421d12873dbbb2
15e03404293500
hex6e403ed6b220

121222211220000 has 720 divisors, whose sum is σ = 494663336687520. Its totient is φ = 27840499200000.

The previous prime is 121222211219999. The next prime is 121222211220041. The reversal of 121222211220000 is 22112222121.

It is a happy number.

121222211220000 is a `hidden beast` number, since 1 + 212 + 22 + 211 + 220 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 36008860 + ... + 39231140.

It is an arithmetic number, because the mean of its divisors is an integer number (687032412066).

Almost surely, 2121222211220000 is an apocalyptic number.

121222211220000 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 121222211220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247331668343760).

121222211220000 is an abundant number, since it is smaller than the sum of its proper divisors (373441125467520).

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

121222211220000 is a wasteful number, since it uses less digits than its factorization.

121222211220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222347 (or 3222321 counting only the distinct ones).

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

Adding to 121222211220000 its reverse (22112222121), we get a palindrome (121244323442121).

The spelling of 121222211220000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twenty thousand".