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121707216 = 24321783599
BaseRepresentation
bin1110100000100…
…01101011010000
322111000100220200
413100101223100
5222124112331
620024335200
73005331351
oct720215320
9274010820
10121707216
1162778484
1234914500
131c2a4007
1412241d28
15aa415e6
hex7411ad0

121707216 has 120 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 37659648.

The previous prime is 121707197. The next prime is 121707247. The reversal of 121707216 is 612707121.

It is a self number, because there is not a number n which added to its sum of digits gives 121707216.

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 23 ways as a sum of consecutive naturals, for example, 202885 + ... + 203483.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2121707216 is an apocalyptic number.

121707216 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 121707216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

121707216 is an abundant number, since it is smaller than the sum of its proper divisors (243894384).

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

121707216 is a wasteful number, since it uses less digits than its factorization.

121707216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 121707216 is about 11032.0993469058. The cubic root of 121707216 is about 495.5704962044.

The spelling of 121707216 in words is "one hundred twenty-one million, seven hundred seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 83 102 136 144 153 166 204 249 272 306 332 408 498 599 612 664 747 816 996 1198 1224 1328 1411 1494 1797 1992 2396 2448 2822 2988 3594 3984 4233 4792 5391 5644 5976 7188 8466 9584 10183 10782 11288 11952 12699 14376 16932 20366 21564 22576 25398 28752 30549 33864 40732 43128 49717 50796 61098 67728 81464 86256 91647 99434 101592 122196 149151 162928 183294 198868 203184 244392 298302 366588 397736 447453 488784 596604 733176 795472 845189 894906 1193208 1466352 1690378 1789812 2386416 2535567 3380756 3579624 5071134 6761512 7159248 7606701 10142268 13523024 15213402 20284536 30426804 40569072 60853608 121707216