Search a number
-
+
121044315120 = 24354792911551
BaseRepresentation
bin111000010111011001…
…1011010101111110000
3102120102210020022112020
41300232303122233300
53440344321040440
6131335035431440
711513406462621
oct1605663325760
9376383208466
10121044315120
11473753a6573
121b5615b5580
13b55066c201
145c03d0ba48
1532369dc3d0
hex1c2ecdabf0

121044315120 has 160 divisors (see below), whose sum is σ = 383666872320. Its totient is φ = 31554969600.

The previous prime is 121044315103. The next prime is 121044315157. The reversal of 121044315120 is 21513440121.

It is a super-2 number, since 2×1210443151202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 10473345 + ... + 10484895.

It is an arithmetic number, because the mean of its divisors is an integer number (2397917952).

Almost surely, 2121044315120 is an apocalyptic number.

121044315120 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 121044315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191833436160).

121044315120 is an abundant number, since it is smaller than the sum of its proper divisors (262622557200).

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

121044315120 is a wasteful number, since it uses less digits than its factorization.

121044315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12543 (or 12537 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 121044315120 its reverse (21513440121), we get a palindrome (142557755241).

The spelling of 121044315120 in words is "one hundred twenty-one billion, forty-four million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 929 940 1128 1410 1858 1880 2256 2787 2820 3716 3760 4645 5574 5640 7432 9290 11148 11280 11551 13935 14864 18580 22296 23102 27870 34653 37160 43663 44592 46204 55740 57755 69306 74320 87326 92408 111480 115510 130989 138612 173265 174652 184816 218315 222960 231020 261978 277224 346530 349304 436630 462040 523956 542897 554448 654945 693060 698608 873260 924080 1047912 1085794 1309890 1386120 1628691 1746520 2095824 2171588 2619780 2714485 2772240 3257382 3493040 4343176 5239560 5428970 6514764 8143455 8686352 10479120 10730879 10857940 13029528 16286910 21461758 21715880 26059056 32192637 32573820 42923516 43431760 53654395 64385274 65147640 85847032 107308790 128770548 130295280 160963185 171694064 214617580 257541096 321926370 429235160 504351313 515082192 643852740 858470320 1008702626 1287705480 1513053939 2017405252 2521756565 2575410960 3026107878 4034810504 5043513130 6052215756 7565269695 8069621008 10087026260 12104431512 15130539390 20174052520 24208863024 30261078780 40348105040 60522157560 121044315120