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12220032320106 = 23134313272745607
BaseRepresentation
bin1011000111010011001010…
…1011111000001001101010
31121021020001001201002101120
42301310302223320021222
53100203111233220411
641553445542200110
72400603535614102
oct261646253701152
947236031632346
1012220032320106
11399153973a656
1214543a8123036
136a8461cc16c0
1430364a39a202
15162d0ed97106
hexb1d32af826a

12220032320106 has 64 divisors (see below), whose sum is σ = 26952469598208. Its totient is φ = 3669798944448.

The previous prime is 12220032320011. The next prime is 12220032320129. The reversal of 12220032320106 is 60102323002221.

12220032320106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3077955 + ... + 5823561.

It is an arithmetic number, because the mean of its divisors is an integer number (421132337472).

Almost surely, 212220032320106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220032320106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476234799104).

12220032320106 is an abundant number, since it is smaller than the sum of its proper divisors (14732437278102).

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

12220032320106 is a wasteful number, since it uses less digits than its factorization.

12220032320106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746995.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12220032320106 its reverse (60102323002221), we get a palindrome (72322355322327).

The spelling of 12220032320106 in words is "twelve trillion, two hundred twenty billion, thirty-two million, three hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1118 1327 1677 2654 3354 3981 7962 17251 34502 51753 57061 103506 114122 171183 342366 741793 1483586 2225379 2745607 4450758 5491214 8236821 16473642 35692891 71385782 107078673 118061101 214157346 236122202 354183303 708366606 1534794313 3069588626 3643420489 4604382939 7286840978 9208765878 10930261467 21860522934 47364466357 94728932714 142093399071 156667081027 284186798142 313334162054 470001243081 940002486162 2036672053351 4073344106702 6110016160053 12220032320106