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12021210022000 = 2453471313972459
BaseRepresentation
bin1010111011101110011111…
…1101000000000001110000
31120120012211210110212011211
42232323213331000001300
53033423414231201000
641322245002245504
72350334535145234
oct256734775000160
946505753425154
1012021210022000
113915191735303
12142195aab6894
1369279798a56a
142d7b888825c4
1515ca750067ba
hexaeee7f40070

12021210022000 has 320 divisors, whose sum is σ = 29999888455680. Its totient is φ = 4656592512000.

The previous prime is 12021210021991. The next prime is 12021210022079. The reversal of 12021210022000 is 22001212021.

It is a happy number.

12021210022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4888656771 + ... + 4888659229.

It is an arithmetic number, because the mean of its divisors is an integer number (93749651424).

Almost surely, 212021210022000 is an apocalyptic number.

12021210022000 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 12021210022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999944227840).

12021210022000 is an abundant number, since it is smaller than the sum of its proper divisors (17978678433680).

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

12021210022000 is a wasteful number, since it uses less digits than its factorization.

12021210022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3041 counting only the distinct ones).

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

Adding to 12021210022000 its reverse (22001212021), we get a palindrome (12043211234021).

The spelling of 12021210022000 in words is "twelve trillion, twenty-one billion, two hundred ten million, twenty-two thousand".