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121042560 = 2735232741
BaseRepresentation
bin1110011011011…
…11011010000000
322102202121011210
413031233122000
5221441330220
620002210120
72666562522
oct715573200
9272677153
10121042560
1162364081
1234653940
131c100622
141210ba12
15a95e6e0
hex736f680

121042560 has 128 divisors (see below), whose sum is σ = 402744960. Its totient is φ = 30863360.

The previous prime is 121042547. The next prime is 121042589. The reversal of 121042560 is 65240121.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42790 + ... + 45530.

It is an arithmetic number, because the mean of its divisors is an integer number (3146445).

Almost surely, 2121042560 is an apocalyptic number.

121042560 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 121042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201372480).

121042560 is an abundant number, since it is smaller than the sum of its proper divisors (281702400).

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

121042560 is a wasteful number, since it uses less digits than its factorization.

121042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 121042560 is about 11001.9343753724. The cubic root of 121042560 is about 494.6667280179. Note that the first 3 decimals are identical.

Adding to 121042560 its reverse (65240121), we get a palindrome (186282681).

The spelling of 121042560 in words is "one hundred twenty-one million, forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2741 2760 2944 3680 4416 5482 5520 7360 8223 8832 10964 11040 13705 14720 16446 21928 22080 27410 32892 41115 43856 44160 54820 63043 65784 82230 87712 109640 126086 131568 164460 175424 189129 219280 252172 263136 315215 328920 350848 378258 438560 504344 526272 630430 657840 756516 877120 945645 1008688 1052544 1260860 1315680 1513032 1754240 1891290 2017376 2521720 2631360 3026064 3782580 4034752 5043440 5262720 6052128 7565160 8069504 10086880 12104256 15130320 20173760 24208512 30260640 40347520 60521280 121042560