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121221202200120 = 233351110203804899
BaseRepresentation
bin11011100100000000000010…
…101100100100011000111000
3120220012122010000011111201000
4123210000002230210120320
5111342042010230400440
61105452130154125000
734350641252464551
oct3344000254443070
9526178100144630
10121221202200120
1135696694459040
1211719593420760
1352841584a4009
1421d11cd3c3328
15e033958ce730
hex6e4002b24638

121221202200120 has 128 divisors (see below), whose sum is σ = 440804371680000. Its totient is φ = 29386958106240.

The previous prime is 121221202200097. The next prime is 121221202200121. The reversal of 121221202200120 is 21002202122121.

It is a happy number.

121221202200120 is a `hidden beast` number, since 1 + 21 + 221 + 202 + 200 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121221202200093 and 121221202200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221202200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5101890570 + ... + 5101914329.

It is an arithmetic number, because the mean of its divisors is an integer number (3443784153750).

Almost surely, 2121221202200120 is an apocalyptic number.

121221202200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221202200120 is an abundant number, since it is smaller than the sum of its proper divisors (319583169479880).

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

121221202200120 is a wasteful number, since it uses less digits than its factorization.

121221202200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10203804930 (or 10203804920 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121221202200120 its reverse (21002202122121), we get a palindrome (142223404322241).

The spelling of 121221202200120 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 10203804899 20407609798 30611414697 40815219596 51019024495 61222829394 81630439192 91834244091 102038048990 112241853889 122445658788 153057073485 183668488182 204076097980 224483707778 244891317576 275502732273 306114146970 336725561667 367336976364 408152195960 448967415556 459171220455 551005464546 561209269445 612228293940 673451123334 734673952728 897934831112 918342440910 1010176685001 1102010929092 1122418538890 1224456587880 1346902246668 1377513661365 1683627808335 1836684881820 2020353370002 2204021858184 2244837077780 2693804493336 2755027322730 3030530055003 3367255616670 3673369763640 4040706740004 4489674155560 5050883425005 5510054645460 6061060110006 6734511233340 8081413480008 10101766850010 11020109290920 12122120220012 13469022466680 15152650275015 20203533700020 24244240440024 30305300550030 40407067400040 60610601100060 121221202200120