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12220011211212 = 223273741101316493
BaseRepresentation
bin1011000111010011000101…
…1011010110100111001100
31121021012222120222122102200
42301310301123112213030
53100203040332224322
641553443505521500
72400603161316120
oct261646133264714
947235876878380
1012220011211212
113991528832192
1214543a1043290
136a845a81062c
14303647663580
15162d0d0c78ac
hexb1d316d69cc

12220011211212 has 288 divisors, whose sum is σ = 37508519228544. Its totient is φ = 3281389056000.

The previous prime is 12220011211159. The next prime is 12220011211237. The reversal of 12220011211212 is 21211211002221.

12220011211212 is a `hidden beast` number, since 12 + 220 + 0 + 11 + 211 + 212 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38452438 + ... + 38768930.

It is an arithmetic number, because the mean of its divisors is an integer number (130237913988).

Almost surely, 212220011211212 is an apocalyptic number.

12220011211212 is a gapful number since it is divisible by the number (12) 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 12220011211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18754259614272).

12220011211212 is an abundant number, since it is smaller than the sum of its proper divisors (25288508017332).

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

12220011211212 is a wasteful number, since it uses less digits than its factorization.

12220011211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316689 (or 316684 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12220011211212 its reverse (21211211002221), we get a palindrome (33431222213433).

The spelling of 12220011211212 in words is "twelve trillion, two hundred twenty billion, eleven million, two hundred eleven thousand, two hundred twelve".