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121609020 = 223513267179
BaseRepresentation
bin1110011111110…
…01101100111100
322110211101012210
413033321230330
5222112442040
620022300420
73004442151
oct717715474
9273741183
10121609020
1162710725
1234887710
131c26b400
1412218228
15aa22480
hex73f9b3c

121609020 has 144 divisors (see below), whose sum is σ = 376306560. Its totient is φ = 29323008.

The previous prime is 121608989. The next prime is 121609043. The reversal of 121609020 is 20906121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679291 + ... + 679469.

It is an arithmetic number, because the mean of its divisors is an integer number (2613240).

Almost surely, 2121609020 is an apocalyptic number.

121609020 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 121609020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188153280).

121609020 is an abundant number, since it is smaller than the sum of its proper divisors (254697540).

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

121609020 is a wasteful number, since it uses less digits than its factorization.

121609020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 121609020 is about 11027.6479813240. The cubic root of 121609020 is about 495.4371813652.

The spelling of 121609020 in words is "one hundred twenty-one million, six hundred nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 169 179 195 201 260 268 335 338 358 390 402 507 537 670 676 716 780 804 845 871 895 1005 1014 1074 1340 1690 1742 1790 2010 2028 2148 2327 2535 2613 2685 3380 3484 3580 4020 4355 4654 5070 5226 5370 6981 8710 9308 10140 10452 10740 11323 11635 11993 13065 13962 17420 22646 23270 23986 26130 27924 30251 33969 34905 35979 45292 46540 47972 52260 56615 59965 60502 67938 69810 71958 90753 113230 119930 121004 135876 139620 143916 151255 155909 169845 179895 181506 226460 239860 302510 311818 339690 359790 363012 453765 467727 605020 623636 679380 719580 779545 907530 935454 1559090 1815060 1870908 2026817 2338635 3118180 4053634 4677270 6080451 8107268 9354540 10134085 12160902 20268170 24321804 30402255 40536340 60804510 121609020