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12220321320 = 2332533945337
BaseRepresentation
bin10110110000110001…
…10100111000101000
31011112122200122101100
423120120310320220
5200011400240240
65340335521400
7611555005644
oct133030647050
934478618340
1012220321320
115201064309
122450689260
1311c99b557c
1483cdadc24
154b7c90e30
hex2d8634e28

12220321320 has 48 divisors (see below), whose sum is σ = 39716045460. Its totient is φ = 3258752256.

The previous prime is 12220321313. The next prime is 12220321343. The reversal of 12220321320 is 2312302221.

12220321320 is a `hidden beast` number, since 1 + 2 + 2 + 20 + 321 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12086363844 + 133957476 = 109938^2 + 11574^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12220321293 and 12220321302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16972309 + ... + 16973028.

Almost surely, 212220321320 is an apocalyptic number.

12220321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220321320 is an abundant number, since it is smaller than the sum of its proper divisors (27495724140).

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

12220321320 is a wasteful number, since it uses less digits than its factorization.

12220321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33945354 (or 33945347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12220321320 its reverse (2312302221), we get a palindrome (14532623541).

The spelling of 12220321320 in words is "twelve billion, two hundred twenty million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33945337 67890674 101836011 135781348 169726685 203672022 271562696 305508033 339453370 407344044 509180055 611016066 678906740 814688088 1018360110 1222032132 1357813480 1527540165 2036720220 2444064264 3055080330 4073440440 6110160660 12220321320