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121065504 = 2537257701
BaseRepresentation
bin1110011011101…
…01000000100000
322102210202122120
413031311000200
5221443044004
620002504240
73000016440
oct715650040
9272722576
10121065504
116237a33a
1234665080
131c10abc1
1412116120
15a9663d9
hex7375020

121065504 has 96 divisors (see below), whose sum is σ = 365129856. Its totient is φ = 34406400.

The previous prime is 121065493. The next prime is 121065577. The reversal of 121065504 is 405560121.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172354 + ... + 173054.

It is an arithmetic number, because the mean of its divisors is an integer number (3803436).

Almost surely, 2121065504 is an apocalyptic number.

121065504 is a gapful number since it is divisible by the number (14) 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 121065504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182564928).

121065504 is an abundant number, since it is smaller than the sum of its proper divisors (244064352).

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

121065504 is a wasteful number, since it uses less digits than its factorization.

121065504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 121065504 is about 11002.9770516892. The cubic root of 121065504 is about 494.6979812574.

The spelling of 121065504 in words is "one hundred twenty-one million, sixty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 257 336 514 672 701 771 1028 1402 1542 1799 2056 2103 2804 3084 3598 4112 4206 4907 5397 5608 6168 7196 8224 8412 9814 10794 11216 12336 14392 14721 16824 19628 21588 22432 24672 28784 29442 33648 39256 43176 57568 58884 67296 78512 86352 117768 157024 172704 180157 235536 360314 471072 540471 720628 1080942 1261099 1441256 2161884 2522198 2882512 3783297 4323768 5044396 5765024 7566594 8647536 10088792 15133188 17295072 20177584 30266376 40355168 60532752 121065504