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121048928 = 25711133779
BaseRepresentation
bin1110011011100…
…00111101100000
322102202220220122
413031300331200
5221442031203
620002255412
72666620220
oct715607540
9272686818
10121048928
1162368940
1234657568
131c1034b0
1412110080
15a961538
hex7370f60

121048928 has 96 divisors (see below), whose sum is σ = 320060160. Its totient is φ = 43522560.

The previous prime is 121048927. The next prime is 121048937. The reversal of 121048928 is 829840121.

121048928 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121048927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30143 + ... + 33921.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2121048928 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 121048928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

121048928 is an abundant number, since it is smaller than the sum of its proper divisors (199011232).

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

121048928 is a wasteful number, since it uses less digits than its factorization.

121048928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 121048928 is about 11002.2237752193. The cubic root of 121048928 is about 494.6754026044.

The spelling of 121048928 in words is "one hundred twenty-one million, forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 3779 4004 4576 7558 8008 15116 16016 26453 30232 32032 41569 49127 52906 60464 83138 98254 105812 120928 166276 196508 211624 290983 332552 343889 393016 423248 540397 581966 665104 687778 786032 846496 1080794 1163932 1330208 1375556 1572064 2161588 2327864 2751112 3782779 4323176 4655728 5502224 7565558 8646352 9311456 11004448 15131116 17292704 30262232 60524464 121048928