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12220011101221 = 7113122722552429
BaseRepresentation
bin1011000111010011000101…
…1010111011110000100101
31121021012222120210001112221
42301310301122323300211
53100203040320214341
641553443503312341
72400603160350340
oct261646132736045
947235876701487
1012220011101221
113991528767590
1214543a0bab6b1
136a845a7a2551
14303647635457
15162d0d0a4ed1
hexb1d316bbc25

12220011101221 has 32 divisors (see below), whose sum is σ = 15796082810880. Its totient is φ = 9174327710400.

The previous prime is 12220011101213. The next prime is 12220011101257. The reversal of 12220011101221 is 12210111002221.

It is a cyclic number.

It is not a de Polignac number, because 12220011101221 - 23 = 12220011101213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12220011101195 and 12220011101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220011101261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10734366 + ... + 11818063.

It is an arithmetic number, because the mean of its divisors is an integer number (493627587840).

Almost surely, 212220011101221 is an apocalyptic number.

12220011101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220011101221 is a deficient number, since it is larger than the sum of its proper divisors (3576071709659).

12220011101221 is a wasteful number, since it uses less digits than its factorization.

12220011101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22552705.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12220011101221 its reverse (12210111002221), we get a palindrome (24430122103442).

The spelling of 12220011101221 in words is "twelve trillion, two hundred twenty billion, eleven million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 7 11 31 77 217 227 341 1589 2387 2497 7037 17479 49259 77407 541849 22552429 157867003 248076719 699125299 1736537033 4893877093 5119401383 7690378289 35835809681 53832648023 56313415213 158701442873 394193906491 1110910100111 1745715871603 12220011101221