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12022211201220 = 2232511371631006769
BaseRepresentation
bin1010111011110010001110…
…1000001100100011000100
31120120022102120101000212200
42232330203220030203010
53033432442031414340
641322532205114500
72350401413060133
oct256744350144304
946508376330780
1012022211201220
113915655894050
121421b9a258a30
136928c721b3bc
142d7c4181991a
1515cad2d6c330
hexaef23a0c8c4

12022211201220 has 288 divisors, whose sum is σ = 41108497073280. Its totient is φ = 2818306068480.

The previous prime is 12022211201177. The next prime is 12022211201233. The reversal of 12022211201220 is 2210211222021.

It is a happy number.

12022211201220 is a `hidden beast` number, since 1 + 20 + 2 + 221 + 1 + 201 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12022211201193 and 12022211201202.

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, 11437996 + ... + 12444764.

It is an arithmetic number, because the mean of its divisors is an integer number (142737837060).

Almost surely, 212022211201220 is an apocalyptic number.

12022211201220 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 12022211201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20554248536640).

12022211201220 is an abundant number, since it is smaller than the sum of its proper divisors (29086285872060).

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

12022211201220 is a wasteful number, since it uses less digits than its factorization.

12022211201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006995 (or 1006990 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12022211201220 its reverse (2210211222021), we get a palindrome (14232422423241).

The spelling of 12022211201220 in words is "twelve trillion, twenty-two billion, two hundred eleven million, two hundred one thousand, two hundred twenty".