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12022120210000 = 245467131136973
BaseRepresentation
bin1010111011110001111000…
…1101000101111001010000
31120120022012020011012101111
42232330132031011321100
53033432300233210000
641322515154543104
72350366226465455
oct256743615057120
946508166135344
1012022120210000
113915609495a9a
121421b73897a94
136928b1410244
142d7c336d182c
1515cac9d96cba
hexaef1e345e50

12022120210000 has 200 divisors, whose sum is σ = 29766906965664. Its totient is φ = 4700879040000.

The previous prime is 12022120209997. The next prime is 12022120210063. The reversal of 12022120210000 is 1202122021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87701514 + ... + 87838486.

Almost surely, 212022120210000 is an apocalyptic number.

12022120210000 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 12022120210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883453482832).

12022120210000 is an abundant number, since it is smaller than the sum of its proper divisors (17744786755664).

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

12022120210000 is a wasteful number, since it uses less digits than its factorization.

12022120210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137199 (or 137178 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12022120210000 its reverse (1202122021), we get a palindrome (12023322332021).

The spelling of 12022120210000 in words is "twelve trillion, twenty-two billion, one hundred twenty million, two hundred ten thousand".