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12021011443320 = 233511199353312953
BaseRepresentation
bin1010111011101101110000…
…0111011110111001111000
31120120012022221211000102220
42232323130013132321320
53033423012412141240
641322213150124040
72350326604230525
oct256733407367170
946505287730386
1012021011443320
11391509a6331a0
1214219044b0620
136927657b0199
142d7b6a35014c
1515ca6287d5d0
hexaeedc1dee78

12021011443320 has 256 divisors, whose sum is σ = 39553432704000. Its totient is φ = 2898495959040.

The previous prime is 12021011443261. The next prime is 12021011443321. The reversal of 12021011443320 is 2334411012021.

It is a super-2 number, since 2×120210114433202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021011443321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928041964 + ... + 928054916.

It is an arithmetic number, because the mean of its divisors is an integer number (154505596500).

Almost surely, 212021011443320 is an apocalyptic number.

12021011443320 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 12021011443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19776716352000).

12021011443320 is an abundant number, since it is smaller than the sum of its proper divisors (27532421260680).

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

12021011443320 is a wasteful number, since it uses less digits than its factorization.

12021011443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16710 (or 16706 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12021011443320 its reverse (2334411012021), we get a palindrome (14355422455341).

The spelling of 12021011443320 in words is "twelve trillion, twenty-one billion, eleven million, four hundred forty-three thousand, three hundred twenty".