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12235310400 = 2635218114083
BaseRepresentation
bin10110110010100100…
…00000010101000000
31011120200220011112110
423121102000111000
5200024214413100
65342033055320
7612126264615
oct133122002500
934520804473
1012235310400
115209571885
1224556b7540
1311ccb32c51
14840d9250c
154b9252250
hex2d9480540

12235310400 has 168 divisors, whose sum is σ = 40366659424. Its totient is φ = 3244492800.

The previous prime is 12235310393. The next prime is 12235310411. The reversal of 12235310400 is 401353221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861759 + ... + 875841.

Almost surely, 212235310400 is an apocalyptic number.

12235310400 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 12235310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20183329712).

12235310400 is an abundant number, since it is smaller than the sum of its proper divisors (28131349024).

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

12235310400 is a wasteful number, since it uses less digits than its factorization.

12235310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14289 (or 14274 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 12235310400 its reverse (401353221), we get a palindrome (12636663621).

The spelling of 12235310400 in words is "twelve billion, two hundred thirty-five million, three hundred ten thousand, four hundred".