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12111010010220 = 223511279109193727
BaseRepresentation
bin1011000000111101000001…
…1100110001010001101100
31120212210122002222220201110
42300033100130301101230
53041411322030311340
641431415435512020
72356664055355122
oct260172034612154
946783562886643
1012111010010220
11394a283465600
1214372408b8610
1369b0a9220074
142dc266d97912
1516007da25680
hexb03d073146c

12111010010220 has 288 divisors, whose sum is σ = 38092194201600. Its totient is φ = 2872228170240.

The previous prime is 12111010010219. The next prime is 12111010010287. The reversal of 12111010010220 is 2201001011121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12111010010196 and 12111010010205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62418997 + ... + 62612723.

It is an arithmetic number, because the mean of its divisors is an integer number (132264563200).

Almost surely, 212111010010220 is an apocalyptic number.

12111010010220 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 12111010010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046097100800).

12111010010220 is an abundant number, since it is smaller than the sum of its proper divisors (25981184191380).

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

12111010010220 is a wasteful number, since it uses less digits than its factorization.

12111010010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193949 (or 193936 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12111010010220 its reverse (2201001011121), we get a palindrome (14312011021341).

The spelling of 12111010010220 in words is "twelve trillion, one hundred eleven billion, ten million, ten thousand, two hundred twenty".