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12201000011112 = 2331146215909133
BaseRepresentation
bin1011000110001100010001…
…0001011000010101101000
31121012101220200001121122110
42301203010101120111220
53044400122000323422
641541021221522320
72366331103634553
oct261430421302550
947171820047573
1012201000011112
113984462477170
1214507762733a0
136a671ac50cc3
1430276281169a
1516259907960c
hexb18c4458568

12201000011112 has 32 divisors (see below), whose sum is σ = 33275454576480. Its totient is φ = 3697272730560.

The previous prime is 12201000011111. The next prime is 12201000011113. The reversal of 12201000011112 is 21111000010221.

It is an interprime number because it is at equal distance from previous prime (12201000011111) and next prime (12201000011113).

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

It is not an unprimeable number, because it can be changed into a prime (12201000011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23107954303 + ... + 23107954830.

It is an arithmetic number, because the mean of its divisors is an integer number (1039857955515).

Almost surely, 212201000011112 is an apocalyptic number.

12201000011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12201000011112 is an abundant number, since it is smaller than the sum of its proper divisors (21074454565368).

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

12201000011112 is a wasteful number, since it uses less digits than its factorization.

12201000011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46215909153 (or 46215909149 counting only the distinct ones).

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

Adding to 12201000011112 its reverse (21111000010221), we get a palindrome (33312000021333).

The spelling of 12201000011112 in words is "twelve trillion, two hundred one billion, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 46215909133 92431818266 138647727399 184863636532 277295454798 369727273064 508375000463 554590909596 1016750000926 1109181819192 1525125001389 2033500001852 3050250002778 4067000003704 6100500005556 12201000011112