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12312201000 = 2335311509733
BaseRepresentation
bin10110111011101110…
…10100011100101000
31011210001120121121110
423131313110130220
5200203410413000
65353421110320
7614051660511
oct133567243450
934701517543
1012312201000
115248a09930
1224773b83a0
131212a44c48
1484b289a08
154c0d8e850
hex2dddd4728

12312201000 has 256 divisors, whose sum is σ = 42045868800. Its totient is φ = 2974848000.

The previous prime is 12312200959. The next prime is 12312201061. The reversal of 12312201000 is 10221321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16796634 + ... + 16797366.

It is an arithmetic number, because the mean of its divisors is an integer number (164241675).

Almost surely, 212312201000 is an apocalyptic number.

12312201000 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 12312201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022934400).

12312201000 is an abundant number, since it is smaller than the sum of its proper divisors (29733667800).

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

12312201000 is a wasteful number, since it uses less digits than its factorization.

12312201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12312201000 its reverse (10221321), we get a palindrome (12322422321).

It can be divided in two parts, 12312 and 201000, that added together give a palindrome (213312).

The spelling of 12312201000 in words is "twelve billion, three hundred twelve million, two hundred one thousand".