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121022640 = 24335431303
BaseRepresentation
bin1110011011010…
…10100010110000
322102201120212000
413031222202300
5221440211030
620001534000
72666450454
oct715524260
9272646760
10121022640
1162350112
1234644300
131c0c453b
1412104664
15a958860
hex736a8b0

121022640 has 160 divisors (see below), whose sum is σ = 426877440. Its totient is φ = 31497984.

The previous prime is 121022623. The next prime is 121022651. The reversal of 121022640 is 46220121.

121022640 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 22 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 92229 + ... + 93531.

It is an arithmetic number, because the mean of its divisors is an integer number (2667984).

Almost surely, 2121022640 is an apocalyptic number.

121022640 is a gapful number since it is divisible by the number (10) 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 121022640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213438720).

121022640 is an abundant number, since it is smaller than the sum of its proper divisors (305854800).

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

121022640 is a wasteful number, since it uses less digits than its factorization.

121022640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 121022640 is about 11001.0290427760. The cubic root of 121022640 is about 494.6395907261.

Adding to 121022640 its reverse (46220121), we get a palindrome (167242761).

The spelling of 121022640 in words is "one hundred twenty-one million, twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 43 45 48 54 60 72 80 86 90 108 120 129 135 144 172 180 215 216 240 258 270 344 360 387 430 432 516 540 645 688 720 774 860 1032 1080 1161 1290 1303 1548 1720 1935 2064 2160 2322 2580 2606 3096 3440 3870 3909 4644 5160 5212 5805 6192 6515 7740 7818 9288 10320 10424 11610 11727 13030 15480 15636 18576 19545 20848 23220 23454 26060 30960 31272 35181 39090 46440 46908 52120 56029 58635 62544 70362 78180 92880 93816 104240 112058 117270 140724 156360 168087 175905 187632 224116 234540 280145 281448 312720 336174 351810 448232 469080 504261 560290 562896 672348 703620 840435 896464 938160 1008522 1120580 1344696 1407240 1512783 1680870 2017044 2241160 2521305 2689392 2814480 3025566 3361740 4034088 4482320 5042610 6051132 6723480 7563915 8068176 10085220 12102264 13446960 15127830 20170440 24204528 30255660 40340880 60511320 121022640