Search a number
-
+
121022113000 = 23532344911719
BaseRepresentation
bin111000010110101111…
…0101110010011101000
3102120101020110022221111
41300231132232103220
53440323130104000
6131332523520104
711513016662455
oct1605536562350
9376336408844
10121022113000
1147363911808
121b556089034
13b548b97669
145c00dac82c
153234aa3cba
hex1c2d7ae4e8

121022113000 has 128 divisors (see below), whose sum is σ = 296187840000. Its totient is φ = 46197043200.

The previous prime is 121022112979. The next prime is 121022113007. The reversal of 121022113000 is 311220121.

It is not an unprimeable number, because it can be changed into a prime (121022113007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10321141 + ... + 10332859.

It is an arithmetic number, because the mean of its divisors is an integer number (2313967500).

Almost surely, 2121022113000 is an apocalyptic number.

121022113000 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 121022113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148093920000).

121022113000 is an abundant number, since it is smaller than the sum of its proper divisors (175165727000).

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

121022113000 is a wasteful number, since it uses less digits than its factorization.

121022113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 121022113000 its reverse (311220121), we get a palindrome (121333333121).

It can be divided in two parts, 1210221 and 13000, that added together give a palindrome (1223221).

The spelling of 121022113000 in words is "one hundred twenty-one billion, twenty-two million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 449 460 500 575 898 920 1000 1150 1796 2245 2300 2875 3592 4490 4600 5750 8980 10327 11225 11500 11719 17960 20654 22450 23000 23438 41308 44900 46876 51635 56125 58595 82616 89800 93752 103270 112250 117190 206540 224500 234380 258175 269537 292975 413080 449000 468760 516350 539074 585950 1032700 1078148 1171900 1290875 1347685 1464875 2065400 2156296 2343800 2581750 2695370 2929750 5163500 5261831 5390740 5859500 6738425 10327000 10523662 10781480 11719000 13476850 21047324 26309155 26953700 33692125 42094648 52618310 53907400 67384250 105236620 121022113 131545775 134768500 210473240 242044226 263091550 269537000 484088452 526183100 605110565 657728875 968176904 1052366200 1210221130 1315457750 2420442260 2630915500 3025552825 4840884520 5261831000 6051105650 12102211300 15127764125 24204422600 30255528250 60511056500 121022113000