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121255560 = 233251719813
BaseRepresentation
bin1110011101000…
…11011010001000
322110011102100200
413032203122020
5222020134220
620010532200
73001440516
oct716433210
9273142320
10121255560
116249a108
1234737060
131c17656a
14121654b6
15a9a2890
hex73a3688

121255560 has 96 divisors (see below), whose sum is σ = 417282840. Its totient is φ = 30431232.

The previous prime is 121255559. The next prime is 121255591. The reversal of 121255560 is 65552121.

It can be written as a sum of positive squares in 4 ways, for example, as 72897444 + 48358116 = 8538^2 + 6954^2 .

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 23 ways as a sum of consecutive naturals, for example, 3787 + ... + 16026.

Almost surely, 2121255560 is an apocalyptic number.

121255560 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 121255560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208641420).

121255560 is an abundant number, since it is smaller than the sum of its proper divisors (296027280).

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

121255560 is a wasteful number, since it uses less digits than its factorization.

121255560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19847 (or 19840 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 121255560 is about 11011.6102364731. The cubic root of 121255560 is about 494.9567149172.

The spelling of 121255560 in words is "one hundred twenty-one million, two hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 19813 39626 59439 79252 99065 118878 158504 178317 198130 237756 297195 336821 356634 396260 475512 594390 673642 713268 792520 891585 1010463 1188780 1347284 1426536 1684105 1783170 2020926 2377560 2694568 3031389 3368210 3566340 4041852 5052315 6062778 6736420 7132680 8083704 10104630 12125556 13472840 15156945 20209260 24251112 30313890 40418520 60627780 121255560