Search a number
-
+
121218480 = 24325198861
BaseRepresentation
bin1110011100110…
…10010110110000
322110002112111100
413032122112300
5222012442410
620010044400
73001224435
oct716322660
9273075440
10121218480
1162474269
1234719700
131c162716
1412155b8c
15a9968c0
hex739a5b0

121218480 has 120 divisors (see below), whose sum is σ = 428566320. Its totient is φ = 30620160.

The previous prime is 121218467. The next prime is 121218491. The reversal of 121218480 is 84812121.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9250 + ... + 18110.

It is an arithmetic number, because the mean of its divisors is an integer number (3571386).

Almost surely, 2121218480 is an apocalyptic number.

121218480 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 121218480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214283160).

121218480 is an abundant number, since it is smaller than the sum of its proper divisors (307347840).

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

121218480 is a wasteful number, since it uses less digits than its factorization.

121218480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8899 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 121218480 is about 11009.9264302719. The cubic root of 121218480 is about 494.9062571180.

The spelling of 121218480 in words is "one hundred twenty-one million, two hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 8861 13680 17722 26583 35444 44305 53166 70888 79749 88610 106332 132915 141776 159498 168359 177220 212664 265830 318996 336718 354440 398745 425328 505077 531660 637992 673436 708880 797490 841795 1010154 1063320 1275984 1346872 1515231 1594980 1683590 2020308 2126640 2525385 2693744 3030462 3189960 3367180 4040616 5050770 6060924 6379920 6734360 7576155 8081232 10101540 12121848 13468720 15152310 20203080 24243696 30304620 40406160 60609240 121218480