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12211111101221 = 1721918611194971
BaseRepresentation
bin1011000110110001111011…
…1100001000001100100101
31121020101000022212012202022
42301230132330020030211
53100031323420214341
641545412413352525
72400136500531434
oct261543674101445
947211008765668
1012211111101221
11398878096788a
121452718498745
136a766c965a66
1430304161111b
1516298ba7ce4b
hexb1b1ef08325

12211111101221 has 24 divisors (see below), whose sum is σ = 13661732484960. Its totient is φ = 10882066003200.

The previous prime is 12211111101193. The next prime is 12211111101269. The reversal of 12211111101221 is 12210111111221.

It is a de Polignac number, because none of the positive numbers 2k-12211111101221 is a prime.

It is a super-2 number, since 2×122111111012212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12211111101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211111101421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9621266 + ... + 10816236.

It is an arithmetic number, because the mean of its divisors is an integer number (569238853540).

Almost surely, 212211111101221 is an apocalyptic number.

It is an amenable number.

12211111101221 is a deficient number, since it is larger than the sum of its proper divisors (1450621383739).

12211111101221 is a wasteful number, since it uses less digits than its factorization.

12211111101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196885 (or 1196868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 12211111101221 its reverse (12210111111221), we get a palindrome (24421222212442).

The spelling of 12211111101221 in words is "twelve trillion, two hundred eleven billion, one hundred eleven million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 17 19 289 323 1861 5491 31637 35359 537829 601103 1194971 10218751 20314507 22704449 345346619 385975633 2223841031 6561585761 37805297527 42252979589 642690057959 718300653013 12211111101221