Search a number
-
+
121102122000 = 2435389226783
BaseRepresentation
bin111000011001000111…
…1111011110000010000
3102120120211000012122210
41300302033323300100
53441004120401000
6131344502432120
711515011024036
oct1606217736020
9376524005583
10121102122000
11473a4a99752
121b578a32640
13b55c62bb72
145c0b878556
15323bb0a350
hex1c323fbc10

121102122000 has 160 divisors (see below), whose sum is σ = 394821872640. Its totient is φ = 31930905600.

The previous prime is 121102121993. The next prime is 121102122041. The reversal of 121102122000 is 221201121.

121102122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 420609 + ... + 647391.

It is an arithmetic number, because the mean of its divisors is an integer number (2467636704).

Almost surely, 2121102122000 is an apocalyptic number.

121102122000 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 121102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197410936320).

121102122000 is an abundant number, since it is smaller than the sum of its proper divisors (273719750640).

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

121102122000 is a wasteful number, since it uses less digits than its factorization.

121102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226898 (or 226882 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121102122000 its reverse (221201121), we get a palindrome (121323323121).

The spelling of 121102122000 in words is "one hundred twenty-one billion, one hundred two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 125 150 178 200 240 250 267 300 356 375 400 445 500 534 600 712 750 890 1000 1068 1200 1335 1424 1500 1780 2000 2136 2225 2670 3000 3560 4272 4450 5340 6000 6675 7120 8900 10680 11125 13350 17800 21360 22250 26700 33375 35600 44500 53400 66750 89000 106800 133500 178000 226783 267000 453566 534000 680349 907132 1133915 1360698 1814264 2267830 2721396 3401745 3628528 4535660 5442792 5669575 6803490 9071320 10885584 11339150 13606980 17008725 18142640 20183687 22678300 27213960 28347875 34017450 40367374 45356600 54427920 56695750 60551061 68034900 80734748 85043625 90713200 100918435 113391500 121102122 136069800 161469496 170087250 201836870 226783000 242204244 272139600 302755305 322938992 340174500 403673740 453566000 484408488 504592175 605510610 680349000 807347480 968816976 1009184350 1211021220 1360698000 1513776525 1614694960 2018368700 2422042440 2522960875 3027553050 4036737400 4844084880 5045921750 6055106100 7568882625 8073474800 10091843500 12110212200 15137765250 20183687000 24220424400 30275530500 40367374000 60551061000 121102122000