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12021222000000 = 2735683101239
BaseRepresentation
bin1010111011101110100010…
…1010101100010110000000
31120120012212122000101220110
42232323220222230112000
53033423430313000000
641322250111111320
72350335042023433
oct256735052542600
946505778011813
1012021222000000
113915198476584
121421962b12540
1369279a2c2535
142d7b8a2bd81a
1515ca760c0850
hexaeee8aac580

12021222000000 has 896 divisors, whose sum is σ = 40965225638400. Its totient is φ = 3122560000000.

The previous prime is 12021221999971. The next prime is 12021222000097. The reversal of 12021222000000 is 22212021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12021222000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50297999881 + ... + 50298000119.

It is an arithmetic number, because the mean of its divisors is an integer number (45720117900).

Almost surely, 212021222000000 is an apocalyptic number.

12021222000000 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 12021222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482612819200).

12021222000000 is an abundant number, since it is smaller than the sum of its proper divisors (28944003638400).

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

12021222000000 is an frugal number, since it uses more digits than its factorization.

12021222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12021222000000 its reverse (22212021), we get a palindrome (12021244212021).

The spelling of 12021222000000 in words is "twelve trillion, twenty-one billion, two hundred twenty-two million", and thus it is an aban number.