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12223210000 = 245429113373
BaseRepresentation
bin10110110001000111…
…10110001000010000
31011112212010101220111
423120203312020100
5200013120210000
65340521451104
7611621366521
oct133043661020
934485111814
1012223210000
115202757651
122451640a94
1311ca487351
1483d522848
154b8161cba
hex2d88f6210

12223210000 has 200 divisors, whose sum is σ = 30967805880. Its totient is φ = 4666368000.

The previous prime is 12223209961. The next prime is 12223210019. The reversal of 12223210000 is 1232221.

It can be written as a sum of positive squares in 20 ways, for example, as 11817429264 + 405780736 = 108708^2 + 20144^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32769814 + ... + 32770186.

Almost surely, 212223210000 is an apocalyptic number.

12223210000 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 12223210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15483902940).

12223210000 is an abundant number, since it is smaller than the sum of its proper divisors (18744595880).

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

12223210000 is a wasteful number, since it uses less digits than its factorization.

12223210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12223210000 its reverse (1232221), we get a palindrome (12224442221).

The spelling of 12223210000 in words is "twelve billion, two hundred twenty-three million, two hundred ten thousand".