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200232122112 = 28321137673187
BaseRepresentation
bin1011101001111011000…
…0111011011100000000
3201010211112001201011200
42322132300323130000
511240033410401422
6231552501141200
720315636645601
oct2723660733400
9633745051150
10200232122112
1177a108a3a60
12329813ba800
1315b60442339
149996c65da8
15531da262ac
hex2e9ec3b700

200232122112 has 432 divisors, whose sum is σ = 656683827072. Its totient is φ = 58137108480.

The previous prime is 200232122089. The next prime is 200232122113. The reversal of 200232122112 is 211221232002.

200232122112 is a `hidden beast` number, since 200 + 232 + 1 + 221 + 12 = 666.

200232122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200232122113) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 62826183 + ... + 62829369.

Almost surely, 2200232122112 is an apocalyptic number.

200232122112 is a gapful number since it is divisible by the number (22) 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 200232122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328341913536).

200232122112 is an abundant number, since it is smaller than the sum of its proper divisors (456451704960).

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

200232122112 is a wasteful number, since it uses less digits than its factorization.

200232122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200232122112 its reverse (211221232002), we get a palindrome (411453354114).

The spelling of 200232122112 in words is "two hundred billion, two hundred thirty-two million, one hundred twenty-two thousand, one hundred twelve".