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121986216 = 23331151341
BaseRepresentation
bin1110100010101…
…01110010101000
322111112112122000
413101111302220
5222212024331
620034331000
73010602642
oct721256250
9274475560
10121986216
1162949060
1234a29a60
131c370cc1
14122b5892
15aa990e6
hex7455ca8

121986216 has 64 divisors (see below), whose sum is σ = 369662400. Its totient is φ = 36964800.

The previous prime is 121986211. The next prime is 121986223. The reversal of 121986216 is 612689121.

121986216 is a `hidden beast` number, since 1 + 21 + 9 + 8 + 621 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121986211) 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 15 ways as a sum of consecutive naturals, for example, 23295 + ... + 28046.

It is an arithmetic number, because the mean of its divisors is an integer number (5775975).

Almost surely, 2121986216 is an apocalyptic number.

It is an amenable number.

121986216 is an abundant number, since it is smaller than the sum of its proper divisors (247676184).

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

121986216 is a wasteful number, since it uses less digits than its factorization.

121986216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51367 (or 51357 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 121986216 is about 11044.7370271999. The cubic root of 121986216 is about 495.9488869459.

The spelling of 121986216 in words is "one hundred twenty-one million, nine hundred eighty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 51341 102682 154023 205364 308046 410728 462069 564751 616092 924138 1129502 1232184 1386207 1694253 1848276 2259004 2772414 3388506 3696552 4518008 5082759 5544828 6777012 10165518 11089656 13554024 15248277 20331036 30496554 40662072 60993108 121986216