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121020209984 = 2619435634111
BaseRepresentation
bin111000010110101011…
…1011101101101000000
3102120101002212122111102
41300231113131231000
53440322133204414
6131332415033532
711512664545352
oct1605527355500
9376332778442
10121020209984
1147362831a73
121b55550b8a8
13b54867c40b
145c00a350d2
153234829ede
hex1c2d5ddb40

121020209984 has 112 divisors (see below), whose sum is σ = 259190215680. Its totient is φ = 55879165440.

The previous prime is 121020209963. The next prime is 121020210013. The reversal of 121020209984 is 489902020121.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29436089 + ... + 29440199.

Almost surely, 2121020209984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121020209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129595107840).

121020209984 is an abundant number, since it is smaller than the sum of its proper divisors (138170005696).

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

121020209984 is a wasteful number, since it uses less digits than its factorization.

121020209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 121020209984 in words is "one hundred twenty-one billion, twenty million, two hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 152 172 304 344 563 608 688 817 1126 1216 1376 1634 2252 2752 3268 4111 4504 6536 8222 9008 10697 13072 16444 18016 21394 24209 26144 32888 36032 42788 48418 52288 65776 78109 85576 96836 131552 156218 171152 176773 193672 263104 312436 342304 353546 387344 459971 624872 684608 707092 774688 919942 1249744 1414184 1549376 1839884 2314493 2499488 2828368 3358687 3679768 4628986 4998976 5656736 6717374 7359536 9257972 11313472 13434748 14719072 18515944 26869496 29438144 37031888 43975367 53738992 74063776 87950734 99523199 107477984 148127552 175901468 199046398 214955968 351802936 398092796 703605872 796185592 1407211744 1592371184 1890940781 2814423488 3184742368 3781881562 6369484736 7563763124 15127526248 30255052496 60510104992 121020209984