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12221220001985 = 561277636122741
BaseRepresentation
bin1011000111010111100101…
…1110100001100011000001
31121021100002211112120122022
42301311321132201203001
53100213024310030420
641554203450251225
72400645140006351
oct261657136414301
947240084476568
1012221220001985
113991a990a2625
121454679a26b15
136a85c1092147
14303720000b61
15162d7e29cc25
hexb1d797a18c1

12221220001985 has 32 divisors (see below), whose sum is σ = 14962703007264. Its totient is φ = 9580052736000.

The previous prime is 12221220001967. The next prime is 12221220002023. The reversal of 12221220001985 is 58910002212221.

It is a happy number.

12221220001985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 11490771158416 + 730448843569 = 3389804^2 + 854663^2 .

It is not a de Polignac number, because 12221220001985 - 222 = 12221215807681 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537397715 + ... + 537420455.

It is an arithmetic number, because the mean of its divisors is an integer number (467584468977).

Almost surely, 212221220001985 is an apocalyptic number.

It is an amenable number.

12221220001985 is a deficient number, since it is larger than the sum of its proper divisors (2741483005279).

12221220001985 is a wasteful number, since it uses less digits than its factorization.

12221220001985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29445.

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 12221220001985 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty million, one thousand, nine hundred eighty-five".

Divisors: 1 5 61 277 305 1385 6361 16897 22741 31805 84485 113705 388021 1387201 1761997 1940105 6299257 6936005 8809985 31496285 107481817 144655501 384254677 537409085 723277505 1921273385 8823985561 40069573777 44119927805 200347868885 2444244000397 12221220001985