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12321638401 is a prime number
BaseRepresentation
bin10110111100110110…
…10100100000000001
31011210201100002021211
423132123110200001
5200213314412101
65354355250121
7614225125012
oct133633244001
934721302254
1012321638401
115253275336
12247a5a9941
13121499a6c7
1484c625009
154c1b05c51
hex2de6d4801

12321638401 has 2 divisors, whose sum is σ = 12321638402. Its totient is φ = 12321638400.

The previous prime is 12321638387. The next prime is 12321638423. The reversal of 12321638401 is 10483612321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12321000000 + 638401 = 111000^2 + 799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12321638401 is a prime.

It is not a weakly prime, because it can be changed into another prime (12321638801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6160819200 + 6160819201.

It is an arithmetic number, because the mean of its divisors is an integer number (6160819201).

Almost surely, 212321638401 is an apocalyptic number.

It is an amenable number.

12321638401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12321638401 is an equidigital number, since it uses as much as digits as its factorization.

12321638401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

It can be divided in two parts, 12321 and 638401, that multiplied together give a square (7865738721 = 886892).

The spelling of 12321638401 in words is "twelve billion, three hundred twenty-one million, six hundred thirty-eight thousand, four hundred one".