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121404465 = 325713231289
BaseRepresentation
bin1110011110001…
…11110000110001
322110102222121200
413033013300301
5222034420330
620014041413
73002630610
oct717076061
9273388550
10121404465
1162590a76
12347a9269
131c1c9280
14121a3877
15a9d1a60
hex73c7c31

121404465 has 96 divisors (see below), whose sum is σ = 270466560. Its totient is φ = 48964608.

The previous prime is 121404461. The next prime is 121404467. The reversal of 121404465 is 564404121.

121404465 is a `hidden beast` number, since 1 + 214 + 0 + 446 + 5 = 666.

It is not a de Polignac number, because 121404465 - 22 = 121404461 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121404461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93541 + ... + 94829.

It is an arithmetic number, because the mean of its divisors is an integer number (2817360).

Almost surely, 2121404465 is an apocalyptic number.

121404465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121404465 is an abundant number, since it is smaller than the sum of its proper divisors (149062095).

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

121404465 is a wasteful number, since it uses less digits than its factorization.

121404465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 121404465 is about 11018.3694347213. The cubic root of 121404465 is about 495.1592386367.

Adding to 121404465 its reverse (564404121), we get a palindrome (685808586).

The spelling of 121404465 in words is "one hundred twenty-one million, four hundred four thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 23 35 39 45 63 65 69 91 105 115 117 161 195 207 273 299 315 345 455 483 585 805 819 897 1035 1289 1365 1449 1495 2093 2415 2691 3867 4095 4485 6279 6445 7245 9023 10465 11601 13455 16757 18837 19335 27069 29647 31395 45115 50271 58005 81207 83785 88941 94185 117299 135345 148235 150813 207529 251355 266823 351897 385411 406035 444705 586495 622587 754065 1037645 1055691 1156233 1334115 1759485 1867761 1927055 2697877 3112935 3468699 5278455 5781165 8093631 9338805 13489385 17343495 24280893 40468155 121404465