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12231220321333 = 1329302691071841
BaseRepresentation
bin1011000111111100110110…
…0010101101110000110101
31121022021220202220102211101
42301333031202231300311
53100344014400240313
642002540044010101
72401451020221346
oct261771542556065
947267822812741
1012231220321333
113996260005562
1214565aab30931
136a9525b61a80
14303dcc2080cd
151632671c05dd
hexb1fcd8adc35

12231220321333 has 16 divisors (see below), whose sum is σ = 13626756082800. Its totient is φ = 10900664248320.

The previous prime is 12231220321291. The next prime is 12231220321433. The reversal of 12231220321333 is 33312302213221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 434626384644 + 11796593936689 = 659262^2 + 3434617^2 .

It is a de Polignac number, because none of the positive numbers 2k-12231220321333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231220321433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10875493 + ... + 11947333.

It is an arithmetic number, because the mean of its divisors is an integer number (851672255175).

Almost surely, 212231220321333 is an apocalyptic number.

12231220321333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12231220321333 is a deficient number, since it is larger than the sum of its proper divisors (1395535761467).

12231220321333 is a wasteful number, since it uses less digits than its factorization.

12231220321333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102152.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 12231220321333 its reverse (33312302213221), we get a palindrome (45543522534554).

The spelling of 12231220321333 in words is "twelve trillion, two hundred thirty-one billion, two hundred twenty million, three hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 13 29 377 30269 393497 877801 1071841 11411413 13933933 31083389 404084057 32443555229 421766217977 940863101641 12231220321333