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121010680 = 23574183127
BaseRepresentation
bin1110011011001…
…11100111111000
322102200222110001
413031213213320
5221434320210
620001402344
72666400550
oct715474770
9272628401
10121010680
116234212a
12346393b4
131c0bbc6b
1412100160
15a95503a
hex73679f8

121010680 has 128 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 39674880.

The previous prime is 121010663. The next prime is 121010689. The reversal of 121010680 is 86010121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121010689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952777 + ... + 952903.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2121010680 is an apocalyptic number.

121010680 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 121010680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

121010680 is an abundant number, since it is smaller than the sum of its proper divisors (204129800).

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

121010680 is a wasteful number, since it uses less digits than its factorization.

121010680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 121010680 is about 11000.4854438338. The cubic root of 121010680 is about 494.6232960218.

The spelling of 121010680 in words is "one hundred twenty-one million, ten thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 83 127 140 164 166 205 254 280 287 328 332 410 415 508 574 581 635 664 820 830 889 1016 1148 1162 1270 1435 1640 1660 1778 2296 2324 2540 2870 2905 3320 3403 3556 4445 4648 5080 5207 5740 5810 6806 7112 8890 10414 10541 11480 11620 13612 17015 17780 20828 21082 23240 23821 26035 27224 34030 35560 36449 41656 42164 47642 52070 52705 68060 72898 73787 84328 95284 104140 105410 119105 136120 145796 147574 182245 190568 208280 210820 238210 291592 295148 364490 368935 421640 432181 476420 590296 728980 737870 864362 952840 1457960 1475740 1728724 2160905 2951480 3025267 3457448 4321810 6050534 8643620 12101068 15126335 17287240 24202136 30252670 60505340 121010680