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12220170266304 = 2636711132331123
BaseRepresentation
bin1011000111010011101011…
…1010000110011011000000
31121021020101200021111000000
42301310322322012123000
53100203402042010204
641553511351000000
72400610132261440
oct261647272063300
947236350244000
1012220170266304
1139915aa599680
121454426369000
136a848475cc80
14303660828120
15162d1c045039
hexb1d3ae866c0

12220170266304 has 1568 divisors, whose sum is σ = 49068786783744. Its totient is φ = 2914738421760.

The previous prime is 12220170266281. The next prime is 12220170266333. The reversal of 12220170266304 is 40366207102221.

12220170266304 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 0 + 17 + 0 + 2 + 6 + 630 + 4 = 666.

It is a super-2 number, since 2×122201702663042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10881718287 + ... + 10881719409.

Almost surely, 212220170266304 is an apocalyptic number.

12220170266304 is a gapful number since it is divisible by the number (14) 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 12220170266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24534393391872).

12220170266304 is an abundant number, since it is smaller than the sum of its proper divisors (36848616517440).

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

12220170266304 is a wasteful number, since it uses less digits than its factorization.

12220170266304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 12220170266304 its reverse (40366207102221), we get a palindrome (52586377368525).

The spelling of 12220170266304 in words is "twelve trillion, two hundred twenty billion, one hundred seventy million, two hundred sixty-six thousand, three hundred four".