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121330134120 = 233513379205213
BaseRepresentation
bin111000011111111010…
…1101110110001101000
3102121011201001102111010
41300333311232301220
53441441003242440
6131423245503520
711523450060306
oct1607765566150
9377151042433
10121330134120
1147501774618
121b621271ba0
13b597943390
145c2dc6d276
153251b49580
hex1c3fd6ec68

121330134120 has 128 divisors (see below), whose sum is σ = 393025852800. Its totient is φ = 29786932224.

The previous prime is 121330134103. The next prime is 121330134131. The reversal of 121330134120 is 21431033121.

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, 488634 + ... + 693846.

It is an arithmetic number, because the mean of its divisors is an integer number (3070514475).

Almost surely, 2121330134120 is an apocalyptic number.

121330134120 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 121330134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196512926400).

121330134120 is an abundant number, since it is smaller than the sum of its proper divisors (271695718680).

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

121330134120 is a wasteful number, since it uses less digits than its factorization.

121330134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205619 (or 205615 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 121330134120 its reverse (21431033121), we get a palindrome (142761167241).

It can be divided in two parts, 1213301 and 34120, that added together give a palindrome (1247421).

The spelling of 121330134120 in words is "one hundred twenty-one billion, three hundred thirty million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 379 390 520 758 780 1137 1516 1560 1895 2274 3032 3790 4548 4927 5685 7580 9096 9854 11370 14781 15160 19708 22740 24635 29562 39416 45480 49270 59124 73905 98540 118248 147810 197080 205213 295620 410426 591240 615639 820852 1026065 1231278 1641704 2052130 2462556 2667769 3078195 4104260 4925112 5335538 6156390 8003307 8208520 10671076 12312780 13338845 16006614 21342152 24625560 26677690 32013228 40016535 53355380 64026456 77775727 80033070 106710760 155551454 160066140 233327181 311102908 320132280 388878635 466654362 622205816 777757270 933308724 1011084451 1166635905 1555514540 1866617448 2022168902 2333271810 3033253353 3111029080 4044337804 4666543620 5055422255 6066506706 8088675608 9333087240 10110844510 12133013412 15166266765 20221689020 24266026824 30332533530 40443378040 60665067060 121330134120