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12222112320 = 26325113710427
BaseRepresentation
bin10110110000111111…
…01010001001000000
31011112210001122011200
423120133222021000
5200012330043240
65340442141200
7611606145345
oct133037521100
934483048150
1012222112320
115202077980
1224511b1800
1311ca191832
1483d3187cc
154b7ee6930
hex2d87ea240

12222112320 has 336 divisors, whose sum is σ = 47104694208. Its totient is φ = 2882580480.

The previous prime is 12222112241. The next prime is 12222112327. The reversal of 12222112320 is 2321122221.

12222112320 is a `hidden beast` number, since 1 + 222 + 211 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12222112293 and 12222112302.

It is not an unprimeable number, because it can be changed into a prime (12222112327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1166947 + ... + 1177373.

Almost surely, 212222112320 is an apocalyptic number.

12222112320 is a gapful number since it is divisible by the number (10) 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 12222112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23552347104).

12222112320 is an abundant number, since it is smaller than the sum of its proper divisors (34882581888).

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

12222112320 is a wasteful number, since it uses less digits than its factorization.

12222112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10498 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12222112320 its reverse (2321122221), we get a palindrome (14543234541).

Subtracting from 12222112320 its reverse (2321122221), we obtain a palindrome (9900990099).

The spelling of 12222112320 in words is "twelve billion, two hundred twenty-two million, one hundred twelve thousand, three hundred twenty".