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121013323200 = 263252711109139
BaseRepresentation
bin111000010110011110…
…1001100010111000000
3102120100121220202121100
41300230331030113000
53440313402320300
6131332011254400
711512552163310
oct1605475142700
9376317822540
10121013323200
1147359958910
121b55314a400
13b54710a8b3
145bddb61440
153233e19700
hex1c2cf4c5c0

121013323200 has 504 divisors, whose sum is σ = 536245856640. Its totient is φ = 25145395200.

The previous prime is 121013323163. The next prime is 121013323217. The reversal of 121013323200 is 2323310121.

121013323200 is a `hidden beast` number, since 1 + 2 + 10 + 1 + 332 + 320 + 0 = 666.

121013323200 is digitally balanced in base 3, 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 (504).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1054231 + ... + 1163369.

Almost surely, 2121013323200 is an apocalyptic number.

121013323200 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 121013323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268122928320).

121013323200 is an abundant number, since it is smaller than the sum of its proper divisors (415232533440).

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

121013323200 is a wasteful number, since it uses less digits than its factorization.

121013323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109185 (or 109167 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121013323200 its reverse (2323310121), we get a palindrome (123336633321).

The spelling of 121013323200 in words is "one hundred twenty-one billion, thirteen million, three hundred twenty-three thousand, two hundred".