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121030560 = 25325712007
BaseRepresentation
bin1110011011011…
…00011110100000
322102201222201100
413031230132200
5221440434220
620002034400
72666512530
oct715543640
9272658640
10121030560
1162356062
1234648a00
131c0c8021
14121074c0
15a95ad90
hex736c7a0

121030560 has 144 divisors (see below), whose sum is σ = 472058496. Its totient is φ = 27661824.

The previous prime is 121030549. The next prime is 121030561. The reversal of 121030560 is 65030121.

121030560 is a `hidden beast` number, since 1 + 2 + 103 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121030561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4077 + ... + 16083.

It is an arithmetic number, because the mean of its divisors is an integer number (3278184).

Almost surely, 2121030560 is an apocalyptic number.

121030560 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 121030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236029248).

121030560 is an abundant number, since it is smaller than the sum of its proper divisors (351027936).

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

121030560 is a wasteful number, since it uses less digits than its factorization.

121030560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12035 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 121030560 is about 11001.3890032123. The cubic root of 121030560 is about 494.6503806083.

Adding to 121030560 its reverse (65030121), we get a palindrome (186060681).

The spelling of 121030560 in words is "one hundred twenty-one million, thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 12007 24014 36021 48028 60035 72042 84049 96056 108063 120070 144084 168098 180105 192112 216126 240140 252147 288168 336196 360210 384224 420245 432252 480280 504294 540315 576336 672392 720420 756441 840490 864504 960560 1008588 1080630 1152672 1260735 1344784 1440840 1512882 1680980 1729008 1921120 2017176 2161260 2521470 2689568 2881680 3025764 3361960 3458016 3782205 4034352 4322520 5042940 5763360 6051528 6723920 7564410 8068704 8645040 10085880 12103056 13447840 15128820 17290080 20171760 24206112 30257640 40343520 60515280 121030560