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121330200200 = 235211173787679
BaseRepresentation
bin111000011111111010…
…1111110111010001000
3102121011201011210010112
41300333311332322020
53441441012401300
6131423251133452
711523450454046
oct1607765767210
9377151153115
10121330200200
114750180a230
121b6212a4288
13b597967491
145c2dc89396
153251b5de35
hex1c3fd7ee88

121330200200 has 192 divisors, whose sum is σ = 334650009600. Its totient is φ = 40402022400.

The previous prime is 121330200197. The next prime is 121330200221. The reversal of 121330200200 is 2002033121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1339961 + ... + 1427639.

It is an arithmetic number, because the mean of its divisors is an integer number (1742968800).

Almost surely, 2121330200200 is an apocalyptic number.

121330200200 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 121330200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167325004800).

121330200200 is an abundant number, since it is smaller than the sum of its proper divisors (213319809400).

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

121330200200 is a wasteful number, since it uses less digits than its factorization.

121330200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87760 (or 87751 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 121330200200 its reverse (2002033121), we get a palindrome (123332233321).

The spelling of 121330200200 in words is "one hundred twenty-one billion, three hundred thirty million, two hundred thousand, two hundred".