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121716096 = 2735632
BaseRepresentation
bin1110100000100…
…11110110000000
322111000211002120
413100103312000
5222124403341
620024444240
73005366265
oct720236600
9274024076
10121716096
1162784117
1234919680
131c2a8078
141224526c
15aa44066
hex7413d80

121716096 has 48 divisors (see below), whose sum is σ = 323883660. Its totient is φ = 40499968.

The previous prime is 121716083. The next prime is 121716121. The reversal of 121716096 is 690617121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 215911 + ... + 216473.

Almost surely, 2121716096 is an apocalyptic number.

121716096 is a gapful number since it is divisible by the number (16) 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 121716096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161941830).

121716096 is an abundant number, since it is smaller than the sum of its proper divisors (202167564).

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

121716096 is an frugal number, since it uses more digits than its factorization.

121716096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 121716096 is about 11032.5018014954. The cubic root of 121716096 is about 495.5825485135.

The spelling of 121716096 in words is "one hundred twenty-one million, seven hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 563 1126 1689 2252 3378 4504 6756 9008 13512 18016 27024 36032 54048 72064 108096 216192 316969 633938 950907 1267876 1901814 2535752 3803628 5071504 7607256 10143008 15214512 20286016 30429024 40572032 60858048 121716096