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121354368 = 2731916633
BaseRepresentation
bin1110011101110…
…11100010000000
322110100102220020
413032323202000
5222031314433
620013013440
73002331552
oct716734200
9273312806
10121354368
1162557373
1234784280
131c1ac525
141218d4d2
15a9c1cb3
hex73bb880

121354368 has 64 divisors (see below), whose sum is σ = 339333600. Its totient is φ = 38320128.

The previous prime is 121354351. The next prime is 121354369. The reversal of 121354368 is 863453121.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (121354369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1021 + ... + 15612.

Almost surely, 2121354368 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 121354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169666800).

121354368 is an abundant number, since it is smaller than the sum of its proper divisors (217979232).

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

121354368 is a wasteful number, since it uses less digits than its factorization.

121354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16669 (or 16657 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 121354368 is about 11016.0958601494. The cubic root of 121354368 is about 495.0911208642.

The spelling of 121354368 in words is "one hundred twenty-one million, three hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 16633 33266 49899 66532 99798 133064 199596 266128 316027 399192 532256 632054 798384 948081 1064512 1264108 1596768 1896162 2129024 2528216 3193536 3792324 5056432 6387072 7584648 10112864 15169296 20225728 30338592 40451456 60677184 121354368