Search a number
-
+
120120201220 = 22571831019177
BaseRepresentation
bin110111111011110111…
…0001101000000000100
3102111001101100110120111
41233313232031000010
53432001232414340
6131103224442404
711451455602165
oct1576756150004
9374041313514
10120120201220
1146a407a4078
121b344019404
13b434081a56
145b572b576c
1531d07eaaea
hex1bf7b8d004

120120201220 has 48 divisors (see below), whose sum is σ = 258887518848. Its totient is φ = 46800561920.

The previous prime is 120120201121. The next prime is 120120201233. The reversal of 120120201220 is 22102021021.

It is a happy number.

It is a super-2 number, since 2×1201202012202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120120201220.

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 15 ways as a sum of consecutive naturals, for example, 391729 + ... + 627448.

It is an arithmetic number, because the mean of its divisors is an integer number (5393489976).

Almost surely, 2120120201220 is an apocalyptic number.

120120201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120201220 is an abundant number, since it is smaller than the sum of its proper divisors (138767317628).

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

120120201220 is a wasteful number, since it uses less digits than its factorization.

120120201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019340 (or 1019338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120120201220 its reverse (22102021021), we get a palindrome (142222222241).

The spelling of 120120201220 in words is "one hundred twenty billion, one hundred twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 71 83 142 166 284 332 355 415 710 830 1420 1660 5893 11786 23572 29465 58930 117860 1019177 2038354 4076708 5095885 10191770 20383540 72361567 84591691 144723134 169183382 289446268 338366764 361807835 422958455 723615670 845916910 1447231340 1691833820 6006010061 12012020122 24024040244 30030050305 60060100610 120120201220