Search a number
-
+
120121220020110 = 235171571500202573
BaseRepresentation
bin11011010011111111100110…
…101001100011011110001110
3120202022110212100122002101220
4123103333212221203132032
5111221031224311120420
61103250532054344210
734205320545306411
oct3323774651433616
9522273770562356
10120121220020110
113530213a169511
121158036965b066
1352044c82c7b1a
142193c80437b78
15dd496679d840
hex6d3fe6a6378e

120121220020110 has 64 divisors (see below), whose sum is σ = 307193480672832. Its totient is φ = 29956044957696.

The previous prime is 120121220020103. The next prime is 120121220020159. The reversal of 120121220020110 is 11020022121021.

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 120121220020110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750021217 + ... + 750181356.

It is an arithmetic number, because the mean of its divisors is an integer number (4799898135513).

Almost surely, 2120121220020110 is an apocalyptic number.

120121220020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120121220020110 is an abundant number, since it is smaller than the sum of its proper divisors (187072260652722).

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

120121220020110 is a wasteful number, since it uses less digits than its factorization.

120121220020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500202757.

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

Adding to 120121220020110 its reverse (11020022121021), we get a palindrome (131141242141131).

The spelling of 120121220020110 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twenty million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 157 170 255 314 471 510 785 942 1570 2355 2669 4710 5338 8007 13345 16014 26690 40035 80070 1500202573 3000405146 4500607719 7501012865 9001215438 15002025730 22503038595 25503443741 45006077190 51006887482 76510331223 127517218705 153020662446 235531803961 255034437410 382551656115 471063607922 706595411883 765103312230 1177659019805 1413190823766 2355318039610 3532977059415 4004040667337 7065954118830 8008081334674 12012122002011 20020203336685 24024244004022 40040406673370 60060610010055 120121220020110