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121098208 = 2573111759
BaseRepresentation
bin1110011011111…
…00111111100000
322102212102111211
413031330333200
5222000120313
620003315504
73000214000
oct715747740
9272772454
10121098208
11623a1970
123467bb94
131c11ca5a
1412124000
15a970e3d
hex737cfe0

121098208 has 192 divisors, whose sum is σ = 326592000. Its totient is φ = 43653120.

The previous prime is 121098203. The next prime is 121098209. The reversal of 121098208 is 802890121.

It is a happy number.

It is a super-2 number, since 2×1210982082 = 29329551961622528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121098208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121098203) 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 31 ways as a sum of consecutive naturals, for example, 2052483 + ... + 2052541.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2121098208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121098208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

121098208 is an abundant number, since it is smaller than the sum of its proper divisors (205493792).

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

121098208 is a wasteful number, since it uses less digits than its factorization.

121098208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 121098208 is about 11004.4630945812. The cubic root of 121098208 is about 494.7425222859.

The spelling of 121098208 in words is "one hundred twenty-one million, ninety-eight thousand, two hundred eight".