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12221623232 = 267131925813
BaseRepresentation
bin10110110000111011…
…10010101111000000
31011112202010210021022
423120131302233000
5200012213420412
65340423445012
7611602040420
oct133035625700
934482123238
1012221623232
115201873475
122450bb6768
1311ca050030
1483d22c480
154b7e4ba72
hex2d8772bc0

12221623232 has 168 divisors, whose sum is σ = 31508066016. Its totient is φ = 4579670016.

The previous prime is 12221623231. The next prime is 12221623243. The reversal of 12221623232 is 23232612221.

12221623232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221623231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2099558 + ... + 2105370.

It is an arithmetic number, because the mean of its divisors is an integer number (187548012).

Almost surely, 212221623232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221623232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754033008).

12221623232 is an abundant number, since it is smaller than the sum of its proper divisors (19286442784).

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

12221623232 is a wasteful number, since it uses less digits than its factorization.

12221623232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5854 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The spelling of 12221623232 in words is "twelve billion, two hundred twenty-one million, six hundred twenty-three thousand, two hundred thirty-two".