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121055040 = 2633514011
BaseRepresentation
bin1110011011100…
…10011101000000
322102210020022000
413031302131000
5221442230130
620002344000
72666644101
oct715623500
9272706260
10121055040
1162372497
123465b000
131c106202
14121123a8
15a963260
hex7372740

121055040 has 112 divisors (see below), whose sum is σ = 427085760. Its totient is φ = 32279040.

The previous prime is 121055029. The next prime is 121055057. The reversal of 121055040 is 40550121.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1635 + ... + 15645.

Almost surely, 2121055040 is an apocalyptic number.

121055040 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 121055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213542880).

121055040 is an abundant number, since it is smaller than the sum of its proper divisors (306030720).

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

121055040 is a wasteful number, since it uses less digits than its factorization.

121055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14037 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 121055040 is about 11002.5015337422. The cubic root of 121055040 is about 494.6837281777.

The spelling of 121055040 in words is "one hundred twenty-one million, fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 14011 28022 42033 56044 70055 84066 112088 126099 140110 168132 210165 224176 252198 280220 336264 378297 420330 448352 504396 560440 630495 672528 756594 840660 896704 1008792 1120880 1260990 1345056 1513188 1681320 1891485 2017584 2241760 2521980 2690112 3026376 3362640 3782970 4035168 4483520 5043960 6052752 6725280 7565940 8070336 10087920 12105504 13450560 15131880 20175840 24211008 30263760 40351680 60527520 121055040