Search a number
-
+
121914912 = 2537181421
BaseRepresentation
bin1110100010001…
…00011000100000
322111101220211010
413101010120200
5222202234122
620033020520
73010155030
oct721043040
9274356733
10121914912
11628aa529
12349b4740
131c347702
14122978c0
15aa82e0c
hex7444620

121914912 has 48 divisors (see below), whose sum is σ = 365746752. Its totient is φ = 34832640.

The previous prime is 121914883. The next prime is 121914917. The reversal of 121914912 is 219419121.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121914912.

It is not an unprimeable number, because it can be changed into a prime (121914917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90039 + ... + 91382.

It is an arithmetic number, because the mean of its divisors is an integer number (7619724).

Almost surely, 2121914912 is an apocalyptic number.

121914912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121914912 is an abundant number, since it is smaller than the sum of its proper divisors (243831840).

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

121914912 is a wasteful number, since it uses less digits than its factorization.

121914912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181441 (or 181433 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 121914912 is about 11041.5085925792. The cubic root of 121914912 is about 495.8522365946.

The spelling of 121914912 in words is "one hundred twenty-one million, nine hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 181421 362842 544263 725684 1088526 1269947 1451368 2177052 2539894 2902736 3809841 4354104 5079788 5805472 7619682 8708208 10159576 15239364 17416416 20319152 30478728 40638304 60957456 121914912