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121118312 = 23719671699
BaseRepresentation
bin1110011100000…
…01111001101000
322102220110002102
413032001321220
5222001241222
620003552532
73000326420
oct716017150
9272813072
10121118312
1162405a87
123468b748
131c128c53
141212b480
15a976d92
hex7381e68

121118312 has 64 divisors (see below), whose sum is σ = 277440000. Its totient is φ = 48413376.

The previous prime is 121118281. The next prime is 121118317. The reversal of 121118312 is 213811121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121118317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70439 + ... + 72137.

It is an arithmetic number, because the mean of its divisors is an integer number (4335000).

Almost surely, 2121118312 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 121118312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138720000).

121118312 is an abundant number, since it is smaller than the sum of its proper divisors (156321688).

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

121118312 is a wasteful number, since it uses less digits than its factorization.

121118312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1794 counting only the distinct ones).

The product of its digits is 96, while the sum is 20.

The square root of 121118312 is about 11005.3765042365. The cubic root of 121118312 is about 494.7698988356.

Adding to 121118312 its reverse (213811121), we get a palindrome (334929433).

The spelling of 121118312 in words is "one hundred twenty-one million, one hundred eighteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 67 76 133 134 152 266 268 469 532 536 938 1064 1273 1699 1876 2546 3398 3752 5092 6796 8911 10184 11893 13592 17822 23786 32281 35644 47572 64562 71288 95144 113833 129124 225967 227666 258248 451934 455332 796831 903868 910664 1593662 1807736 2162827 3187324 4325654 6374648 8651308 15139789 17302616 30279578 60559156 121118312