Search a number
-
+
12221122022120 = 2351173380483251
BaseRepresentation
bin1011000111010111001110…
…1000110000101011101000
31121021022212000011200112102
42301311303220300223220
53100212324214201440
641554150030232532
72400642540126644
oct261656350605350
947238760150472
1012221122022120
113991a48860930
121454651055748
136a85a69a7cab
14303710db7c24
15162d75896b15
hexb1d73a30ae8

12221122022120 has 64 divisors (see below), whose sum is σ = 30408221499840. Its totient is φ = 4383167040000.

The previous prime is 12221122022063. The next prime is 12221122022171. The reversal of 12221122022120 is 2122022112221.

12221122022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12221122022092 and 12221122022101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190209506 + ... + 190273745.

It is an arithmetic number, because the mean of its divisors is an integer number (475128460935).

Almost surely, 212221122022120 is an apocalyptic number.

12221122022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221122022120 is an abundant number, since it is smaller than the sum of its proper divisors (18187099477720).

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

12221122022120 is a wasteful number, since it uses less digits than its factorization.

12221122022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380483346 (or 380483342 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12221122022120 its reverse (2122022112221), we get a palindrome (14343144134341).

The spelling of 12221122022120 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6424 8030 16060 32120 380483251 760966502 1521933004 1902416255 3043866008 3804832510 4185315761 7609665020 8370631522 15219330040 16741263044 20926578805 27775277323 33482526088 41853157610 55550554646 83706315220 111101109292 138876386615 167412630440 222202218584 277752773230 305528050553 555505546460 611056101106 1111011092920 1222112202212 1527640252765 2444224404424 3055280505530 6110561011060 12221122022120