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12022120102200 = 23352133136537541
BaseRepresentation
bin1010111011110001111000…
…1100101011100100111000
31120120022012012221201111220
42232330132030223210320
53033432300221232300
641322515152352040
72350366225536255
oct256743614534470
946508165851456
1012022120102200
113915609421aaa
121421b73845620
136928b13a3160
142d7c336a442c
1515cac9d74da0
hexaef1e32b938

12022120102200 has 384 divisors, whose sum is σ = 40330620550080. Its totient is φ = 2944928563200.

The previous prime is 12022120102193. The next prime is 12022120102243. The reversal of 12022120102200 is 220102122021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12022120102200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1594230430 + ... + 1594237970.

Almost surely, 212022120102200 is an apocalyptic number.

12022120102200 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 12022120102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20165310275040).

12022120102200 is an abundant number, since it is smaller than the sum of its proper divisors (28308500447880).

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

12022120102200 is a wasteful number, since it uses less digits than its factorization.

12022120102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12022120102200 its reverse (220102122021), we get a palindrome (12242222224221).

The spelling of 12022120102200 in words is "twelve trillion, twenty-two billion, one hundred twenty million, one hundred two thousand, two hundred".