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12221473968 = 24331119223607
BaseRepresentation
bin10110110000111010…
…01110010010110000
31011112201212012112000
423120131032102300
5200012144131333
65340420334000
7611600546304
oct133035162260
934481765460
1012221473968
115201781310
122450b44300
1311c9cca102
1483d1cdd04
154b7e1c713
hex2d874e4b0

12221473968 has 320 divisors, whose sum is σ = 40530739200. Its totient is φ = 3487069440.

The previous prime is 12221473951. The next prime is 12221474009. The reversal of 12221473968 is 86937412221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20133921 + ... + 20134527.

It is an arithmetic number, because the mean of its divisors is an integer number (126658560).

Almost surely, 212221473968 is an apocalyptic number.

12221473968 is a gapful number since it is divisible by the number (18) 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 12221473968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20265369600).

12221473968 is an abundant number, since it is smaller than the sum of its proper divisors (28309265232).

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

12221473968 is a wasteful number, since it uses less digits than its factorization.

12221473968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 865 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 12221473968 in words is "twelve billion, two hundred twenty-one million, four hundred seventy-three thousand, nine hundred sixty-eight".