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12220540117 = 171931372271
BaseRepresentation
bin10110110000110011…
…01010010011010101
31011112200002202111221
423120121222103111
5200011424240432
65340344330341
7611556606562
oct133031522325
934480082457
1012220540117
1152011a3735
1224507739b1
1311c9a61036
1483d029869
154b7cd5b97
hex2d866a4d5

12220540117 has 8 divisors (see below), whose sum is σ = 12946131072. Its totient is φ = 11495697600.

The previous prime is 12220540081. The next prime is 12220540133. The reversal of 12220540117 is 71104502221.

12220540117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12220540117 - 215 = 12220507349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12220540091 and 12220540100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220540177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153309 + ... + 218962.

It is an arithmetic number, because the mean of its divisors is an integer number (1618266384).

Almost surely, 212220540117 is an apocalyptic number.

12220540117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12220540117 is a deficient number, since it is larger than the sum of its proper divisors (725590955).

12220540117 is a wasteful number, since it uses less digits than its factorization.

12220540117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374219.

The product of its (nonzero) digits is 1120, while the sum is 25.

The spelling of 12220540117 in words is "twelve billion, two hundred twenty million, five hundred forty thousand, one hundred seventeen".

Divisors: 1 17 1931 32827 372271 6328607 718855301 12220540117