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12200102112 = 2531111553127
BaseRepresentation
bin10110101110010111…
…01100100011100000
31011111020122101211210
423113023230203200
5144441211231422
65334334310120
7611221104552
oct132713544340
934436571753
1012200102112
1151a0704320
122445958340
1311c5756443
1483a4294d2
154b60ea10c
hex2d72ec8e0

12200102112 has 48 divisors (see below), whose sum is σ = 34936659072. Its totient is φ = 3697000320.

The previous prime is 12200102107. The next prime is 12200102119. The reversal of 12200102112 is 21120100221.

12200102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200102119) 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, 5775508 + ... + 5777619.

It is an arithmetic number, because the mean of its divisors is an integer number (727847064).

Almost surely, 212200102112 is an apocalyptic number.

12200102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200102112 is an abundant number, since it is smaller than the sum of its proper divisors (22736556960).

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

12200102112 is a wasteful number, since it uses less digits than its factorization.

12200102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553151 (or 11553143 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12200102112 its reverse (21120100221), we get a palindrome (33320202333).

The spelling of 12200102112 in words is "twelve billion, two hundred million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11553127 23106254 34659381 46212508 69318762 92425016 127084397 138637524 184850032 254168794 277275048 369700064 381253191 508337588 554550096 762506382 1016675176 1109100192 1525012764 2033350352 3050025528 4066700704 6100051056 12200102112