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121122212200 = 235211975571019
BaseRepresentation
bin111000011001101110…
…0100100100101101000
3102120122012210220020021
41300303130210211220
53441024241242300
6131350501210224
711515343550043
oct1606334444550
9376565726207
10121122212200
1147405370820
121b583700974
13b563844362
145c103c7c5a
15323d777d1a
hex1c33724968

121122212200 has 192 divisors, whose sum is σ = 311239454400. Its totient is φ = 43469414400.

The previous prime is 121122212191. The next prime is 121122212207. The reversal of 121122212200 is 2212221121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121122212207) 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 47 ways as a sum of consecutive naturals, for example, 118863291 + ... + 118864309.

It is an arithmetic number, because the mean of its divisors is an integer number (1621038825).

Almost surely, 2121122212200 is an apocalyptic number.

121122212200 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 121122212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155619727200).

121122212200 is an abundant number, since it is smaller than the sum of its proper divisors (190117242200).

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

121122212200 is a wasteful number, since it uses less digits than its factorization.

121122212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121122212200 its reverse (2212221121), we get a palindrome (123334433321).

The spelling of 121122212200 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".