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12219975936 = 283274472
BaseRepresentation
bin10110110000101111…
…00000100100000000
31011112122001002121100
423120113200210000
5200011303212221
65340324254400
7611552040000
oct133027404400
934478032540
1012219975936
115200948873
122450541400
1311c98c42bc
1483cd20000
154b7c23926
hex2d85e0900

12219975936 has 405 divisors, whose sum is σ = 41996096051. Its totient is φ = 3417136128.

The previous prime is 12219975931. The next prime is 12219975953. The reversal of 12219975936 is 63957991221.

The square root of 12219975936 is 110544.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (12219975931) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 259999465 + ... + 259999511.

Almost surely, 212219975936 is an apocalyptic number.

12219975936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12219975936 is the 110544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12219975936

12219975936 is an abundant number, since it is smaller than the sum of its proper divisors (29776120115).

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

12219975936 is an frugal number, since it uses more digits than its factorization.

12219975936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 59 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

It can be divided in two parts, 122199 and 75936, that added together give a triangular number (198135 = T629).

The spelling of 12219975936 in words is "twelve billion, two hundred nineteen million, nine hundred seventy-five thousand, nine hundred thirty-six".