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12022212202000 = 2453711136005101
BaseRepresentation
bin1010111011110010001110…
…1100000000111000010000
31120120022102122020212200121
42232330203230000320100
53033432442310431000
641322532242400024
72350401424425640
oct256744354007020
946508378225617
1012022212202000
113915656407a40
121421b9a660014
136928c74aba90
142d7c419da520
1515cad2eb8b1a
hexaef23b00e10

12022212202000 has 320 divisors, whose sum is σ = 39030664877568. Its totient is φ = 3458937600000.

The previous prime is 12022212201983. The next prime is 12022212202067. The reversal of 12022212202000 is 20221222021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000551 + ... + 5004550.

Almost surely, 212022212202000 is an apocalyptic number.

12022212202000 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 12022212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19515332438784).

12022212202000 is an abundant number, since it is smaller than the sum of its proper divisors (27008452675568).

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

12022212202000 is a wasteful number, since it uses less digits than its factorization.

12022212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005155 (or 6005139 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12022212202000 its reverse (20221222021), we get a palindrome (12042433424021).

The spelling of 12022212202000 in words is "twelve trillion, twenty-two billion, two hundred twelve million, two hundred two thousand".