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121104384 = 211323857
BaseRepresentation
bin1110011011111…
…10100000000000
322102212201222120
413031332200000
5222000320014
620003404240
73000241002
oct715764000
9272781876
10121104384
11623a6575
1234683680
131c1227cb
1412126372
15a972ba9
hex737e800

121104384 has 96 divisors (see below), whose sum is σ = 337296960. Its totient is φ = 38567936.

The previous prime is 121104359. The next prime is 121104409. The reversal of 121104384 is 483401121.

It is an interprime number because it is at equal distance from previous prime (121104359) and next prime (121104409).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140884 + ... + 141740.

It is an arithmetic number, because the mean of its divisors is an integer number (3513510).

Almost surely, 2121104384 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 121104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168648480).

121104384 is an abundant number, since it is smaller than the sum of its proper divisors (216192576).

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

121104384 is an equidigital number, since it uses as much as digits as its factorization.

121104384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 121104384 is about 11004.7437044213. The cubic root of 121104384 is about 494.7509327541.

The spelling of 121104384 in words is "one hundred twenty-one million, one hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 857 1024 1104 1472 1536 1714 2048 2208 2571 2944 3072 3428 4416 5142 5888 6144 6856 8832 10284 11776 13712 17664 19711 20568 23552 27424 35328 39422 41136 47104 54848 59133 70656 78844 82272 109696 118266 141312 157688 164544 219392 236532 315376 329088 438784 473064 630752 658176 877568 946128 1261504 1316352 1755136 1892256 2523008 2632704 3784512 5046016 5265408 7569024 10092032 15138048 20184064 30276096 40368128 60552192 121104384