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12114203200 = 2652114311597
BaseRepresentation
bin10110100100001000…
…00001001001000000
31011021021000021200121
423102010001021000
5144302214000300
65322025230024
7606126012451
oct132204011100
934237007617
1012114203200
115157174190
122421032314
1311b0a0c098
1482cc69128
154ad7cd81a
hex2d2101240

12114203200 has 168 divisors, whose sum is σ = 32614233984. Its totient is φ = 4392192000.

The previous prime is 12114203113. The next prime is 12114203203. The reversal of 12114203200 is 230241121.

It is a super-3 number, since 3×121142032003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12114203203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7584802 + ... + 7586398.

Almost surely, 212114203200 is an apocalyptic number.

12114203200 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 12114203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307116992).

12114203200 is an abundant number, since it is smaller than the sum of its proper divisors (20500030784).

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

12114203200 is a wasteful number, since it uses less digits than its factorization.

12114203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12114203200 its reverse (230241121), we get a palindrome (12344444321).

The spelling of 12114203200 in words is "twelve billion, one hundred fourteen million, two hundred three thousand, two hundred".