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12122400132321 = 3432772753123229
BaseRepresentation
bin1011000001100111011101…
…0110101000110011100001
31120220220000220112001212120
42300121313112220303201
53042103133413213241
641440542001414453
72360546242662153
oct260316726506341
946826026461776
1012122400132321
113954098931956
12143949b33a429
1369c1a2c0ab9b
142dca279baad3
151604e8976666
hexb06775a8ce1

12122400132321 has 32 divisors (see below), whose sum is σ = 16604960549760. Its totient is φ = 7862238203904.

The previous prime is 12122400132319. The next prime is 12122400132341. The reversal of 12122400132321 is 12323100422121.

12122400132321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122400132321 - 21 = 12122400132319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122400132291 and 12122400132300.

It is not an unprimeable number, because it can be changed into a prime (12122400132341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98311335 + ... + 98434563.

It is an arithmetic number, because the mean of its divisors is an integer number (518905017180).

Almost surely, 212122400132321 is an apocalyptic number.

It is an amenable number.

12122400132321 is a deficient number, since it is larger than the sum of its proper divisors (4482560417439).

12122400132321 is a wasteful number, since it uses less digits than its factorization.

12122400132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126305.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12122400132321 its reverse (12323100422121), we get a palindrome (24445500554442).

The spelling of 12122400132321 in words is "twelve trillion, one hundred twenty-two billion, four hundred million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 43 129 277 831 2753 8259 11911 35733 118379 123229 355137 369687 762581 2287743 5298847 15896541 32790983 34134433 98372949 102403299 339249437 1017748311 1467780619 4403341857 14587725791 43763177373 93972094049 281916282147 4040800044107 12122400132321