Search a number
-
+
212120121220 = 225710157725999
BaseRepresentation
bin1100010110001101011…
…0000010111110000100
3202021112000102122011221
43011203112002332010
511433410222334340
6241240250210124
721216351165250
oct3054326027604
9667460378157
10212120121220
1181a61307707
123513a723944
1317006320b37
14a3a3a4b260
1557b752144a
hex3163582f84

212120121220 has 96 divisors (see below), whose sum is σ = 515039616000. Its totient is φ = 71879270400.

The previous prime is 212120121217. The next prime is 212120121223. The reversal of 212120121220 is 22121021212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212120121217) and next prime (212120121223).

It is a junction number, because it is equal to n+sod(n) for n = 212120121194 and 212120121203.

It is not an unprimeable number, because it can be changed into a prime (212120121223) 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 31 ways as a sum of consecutive naturals, for example, 8145781 + ... + 8171779.

It is an arithmetic number, because the mean of its divisors is an integer number (5364996000).

Almost surely, 2212120121220 is an apocalyptic number.

212120121220 is a gapful number since it is divisible by the number (20) 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 212120121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257519808000).

212120121220 is an abundant number, since it is smaller than the sum of its proper divisors (302919494780).

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

212120121220 is a wasteful number, since it uses less digits than its factorization.

212120121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26693 (or 26691 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212120121220 its reverse (22121021212), we get a palindrome (234241142432).

The spelling of 212120121220 in words is "two hundred twelve billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 577 707 1010 1154 1414 2020 2308 2828 2885 3535 4039 5770 7070 8078 11540 14140 16156 20195 25999 40390 51998 58277 80780 103996 116554 129995 181993 233108 259990 291385 363986 407939 519980 582770 727972 815878 909965 1165540 1631756 1819930 2039695 2625899 3639860 4079390 5251798 8158780 10503596 13129495 15001423 18381293 26258990 30002846 36762586 52517980 60005692 73525172 75007115 91906465 105009961 150014230 183812930 210019922 300028460 367625860 420039844 525049805 1050099610 1515143723 2100199220 3030287446 6060574892 7575718615 10606006061 15151437230 21212012122 30302874460 42424024244 53030030305 106060060610 212120121220