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12022221011220 = 2235571103320387
BaseRepresentation
bin1010111011110010010000…
…1101100111100100010100
31120120022110020211102200000
42232330210031213210110
53033433002034324340
641322533155251300
72350401562335540
oct256744415474424
946508406742600
1012022221011220
113915660384492
121421ba15a9b30
136928c9274634
142d7c42c50a20
1515cad3b58d30
hexaef24367914

12022221011220 has 288 divisors, whose sum is σ = 43259946283008. Its totient is φ = 2745436332672.

The previous prime is 12022221011183. The next prime is 12022221011221. The reversal of 12022221011220 is 2211012222021.

It is a happy number.

12022221011220 is a `hidden beast` number, since 1 + 2 + 0 + 222 + 210 + 11 + 220 = 666.

12022221011220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12022221011193 and 12022221011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022221011221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37363867 + ... + 37684253.

It is an arithmetic number, because the mean of its divisors is an integer number (150208146816).

Almost surely, 212022221011220 is an apocalyptic number.

12022221011220 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 12022221011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21629973141504).

12022221011220 is an abundant number, since it is smaller than the sum of its proper divisors (31237725271788).

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

12022221011220 is a wasteful number, since it uses less digits than its factorization.

12022221011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321521 (or 321507 counting only the distinct ones).

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

Adding to 12022221011220 its reverse (2211012222021), we get a palindrome (14233233233241).

The spelling of 12022221011220 in words is "twelve trillion, twenty-two billion, two hundred twenty-one million, eleven thousand, two hundred twenty".