Search a number
-
+
121221200210000 = 2454111102010911
BaseRepresentation
bin11011100100000000000010…
…100100111110100001010000
3120220012122002212102101202212
4123210000002210332201100
5111342042004223210000
61105452130043331252
734350641226535502
oct3344000244764120
9526178085371685
10121221200210000
1135696693319910
1211719592820b28
135284157c58227
1421d11cd025d72
15e03395639c35
hex6e400293e850

121221200210000 has 100 divisors (see below), whose sum is σ = 320169434285184. Its totient is φ = 44080436400000.

The previous prime is 121221200209999. The next prime is 121221200210009. The reversal of 121221200210000 is 12002122121.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221200210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 550895456 + ... + 551115455.

Almost surely, 2121221200210000 is an apocalyptic number.

121221200210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221200210000 is an abundant number, since it is smaller than the sum of its proper divisors (198948234075184).

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

121221200210000 is a wasteful number, since it uses less digits than its factorization.

121221200210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102010950 (or 1102010929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121221200210000 its reverse (12002122121), we get a palindrome (121233202332121).

The spelling of 121221200210000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 1102010911 2204021822 4408043644 5510054555 8816087288 11020109110 12122120021 17632174576 22040218220 24244240042 27550272775 44080436440 48488480084 55100545550 60610600105 88160872880 96976960168 110201091100 121221200210 137751363875 193953920336 220402182200 242442400420 275502727750 303053000525 440804364400 484884800840 551005455500 606106001050 688756819375 969769601680 1102010911000 1212212002100 1377513638750 1515265002625 2204021822000 2424424004200 2755027277500 3030530005250 4848848008400 5510054555000 6061060010500 7576325013125 11020109110000 12122120021000 15152650026250 24244240042000 30305300052500 60610600105000 121221200210000