Search a number
-
+
121120021000 = 23531112798609
BaseRepresentation
bin111000011001101010…
…0001101101000001000
3102120122001200120110201
41300303110031220020
53441023211133000
6131350342221544
711515316122516
oct1606324155010
9376561616421
10121120021000
1147404104510
121b582a248b4
13b563257ba4
145c0ddb74b6
15323d49396a
hex1c3350da08

121120021000 has 128 divisors (see below), whose sum is σ = 309464064000. Its totient is φ = 44004096000.

The previous prime is 121120020971. The next prime is 121120021027. The reversal of 121120021000 is 120021121.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 14064696 + ... + 14073304.

It is an arithmetic number, because the mean of its divisors is an integer number (2417688000).

Almost surely, 2121120021000 is an apocalyptic number.

121120021000 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 121120021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154732032000).

121120021000 is an abundant number, since it is smaller than the sum of its proper divisors (188344043000).

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

121120021000 is a wasteful number, since it uses less digits than its factorization.

121120021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920 (or 9906 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121120021000 its reverse (120021121), we get a palindrome (121240042121).

The spelling of 121120021000 in words is "one hundred twenty-one billion, one hundred twenty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1279 1375 2200 2558 2750 5116 5500 6395 8609 10232 11000 12790 14069 17218 25580 28138 31975 34436 43045 51160 56276 63950 68872 70345 86090 94699 112552 127900 140690 159875 172180 189398 215225 255800 281380 319750 344360 351725 378796 430450 473495 562760 639500 703450 757592 860900 946990 1076125 1279000 1406900 1721800 1758625 1893980 2152250 2367475 2813800 3517250 3787960 4304500 4734950 7034500 8609000 9469900 11010911 11837375 14069000 18939800 22021822 23674750 44043644 47349500 55054555 88087288 94699000 110109110 121120021 220218220 242240042 275272775 440436440 484480084 550545550 605600105 968960168 1101091100 1211200210 1376363875 2202182200 2422400420 2752727750 3028000525 4844800840 5505455500 6056001050 11010911000 12112002100 15140002625 24224004200 30280005250 60560010500 121120021000