Search a number
-
+
121000222101120 = 273563020949011
BaseRepresentation
bin11011100000110010001111…
…010000011000111010000000
3120212102111201112010100212220
4123200302033100120322000
5111324431423324213440
61105202422403451040
734325656205600265
oct3340621720307200
9525374645110786
10121000222101120
11356109a69a7a4a
12116a27a1686a80
13526936c71a39b
1421c4628bad26c
15dec76063e8d0
hex6e0c8f418e80

121000222101120 has 64 divisors (see below), whose sum is σ = 385688207953440. Its totient is φ = 32266725893120.

The previous prime is 121000222101113. The next prime is 121000222101137. The reversal of 121000222101120 is 21101222000121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121000222101120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31510472586 + ... + 31510476425.

Almost surely, 2121000222101120 is an apocalyptic number.

121000222101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121000222101120 is an abundant number, since it is smaller than the sum of its proper divisors (264687985852320).

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

121000222101120 is an equidigital number, since it uses as much as digits as its factorization.

121000222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63020949033 (or 63020949021 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121000222101120 its reverse (21101222000121), we get a palindrome (142101444101241).

The spelling of 121000222101120 in words is "one hundred twenty-one trillion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 63020949011 126041898022 189062847033 252083796044 315104745055 378125694066 504167592088 630209490110 756251388132 945314235165 1008335184176 1260418980220 1512502776264 1890628470330 2016670368352 2520837960440 3025005552528 3781256940660 4033340736704 5041675920880 6050011105056 7562513881320 8066681473408 10083351841760 12100022210112 15125027762640 20166703683520 24200044420224 30250055525280 40333407367040 60500111050560 121000222101120