Search a number
-
+
121200111120 = 243511285716069
BaseRepresentation
bin111000011100000010…
…1101110111000010000
3102120211122101120110110
41300320011232320100
53441204212023440
6131402323001320
711520310642434
oct1607005567020
9376748346413
10121200111120
11474453373a0
121b5a5809240
13b576a1a2aa
145c1a8a49c4
153245514080
hex1c3816ee10

121200111120 has 160 divisors (see below), whose sum is σ = 410045719680. Its totient is φ = 29369733120.

The previous prime is 121200111113. The next prime is 121200111139. The reversal of 121200111120 is 21111002121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121200111096 and 121200111105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7534446 + ... + 7550514.

It is an arithmetic number, because the mean of its divisors is an integer number (2562785748).

Almost surely, 2121200111120 is an apocalyptic number.

121200111120 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 121200111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205022859840).

121200111120 is an abundant number, since it is smaller than the sum of its proper divisors (288845608560).

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

121200111120 is a wasteful number, since it uses less digits than its factorization.

121200111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18953 (or 18947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121200111120 its reverse (21111002121), we get a palindrome (142311113241).

The spelling of 121200111120 in words is "one hundred twenty-one billion, two hundred million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 2857 5714 8571 11428 14285 16069 17142 22856 28570 31427 32138 34284 42855 45712 48207 57140 62854 64276 68568 80345 85710 94281 96414 114280 125708 128552 137136 157135 160690 171420 176759 188562 192828 228560 241035 251416 257104 314270 321380 342840 353518 377124 385656 471405 482070 502832 530277 628540 642760 685680 707036 754248 771312 883795 942810 964140 1060554 1257080 1285520 1414072 1508496 1767590 1885620 1928280 2121108 2514160 2651385 2828144 3535180 3771240 3856560 4242216 5302770 7070360 7542480 8484432 10605540 14140720 21211080 42422160 45909133 91818266 137727399 183636532 229545665 275454798 367273064 459091330 505000463 550909596 688636995 734546128 918182660 1010000926 1101819192 1377273990 1515001389 1836365320 2020001852 2203638384 2525002315 2754547980 3030002778 3672730640 4040003704 5050004630 5509095960 6060005556 7575006945 8080007408 10100009260 11018191920 12120011112 15150013890 20200018520 24240022224 30300027780 40400037040 60600055560 121200111120