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12201003331110 = 23251167973318899
BaseRepresentation
bin1011000110001100010001…
…1110000010111000100110
31121012101220220022021211100
42301203010132002320212
53044400123323043420
641541021421020530
72366331144103056
oct261430436027046
947171826267740
1012201003331110
113984464334570
1214507773b4746
136a671b8441b9
14302763037566
151625994d3190
hexb18c4782e26

12201003331110 has 192 divisors, whose sum is σ = 35128464134400. Its totient is φ = 2913218922240.

The previous prime is 12201003331103. The next prime is 12201003331133. The reversal of 12201003331110 is 1113330010221.

12201003331110 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 0 + 3 + 331 + 110 = 666.

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

It is a congruent number.

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, 645580441 + ... + 645599339.

It is an arithmetic number, because the mean of its divisors is an integer number (182960750700).

Almost surely, 212201003331110 is an apocalyptic number.

12201003331110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201003331110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564232067200).

12201003331110 is an abundant number, since it is smaller than the sum of its proper divisors (22927460803290).

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

12201003331110 is a wasteful number, since it uses less digits than its factorization.

12201003331110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28723 (or 28720 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12201003331110 its reverse (1113330010221), we get a palindrome (13314333341331).

The spelling of 12201003331110 in words is "twelve trillion, two hundred one billion, three million, three hundred thirty-one thousand, one hundred ten".