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12220101312321 = 372672292177569
BaseRepresentation
bin1011000111010011011011…
…0011000011111101000001
31121021020012212112020220210
42301310312303003331001
53100203231413443241
641553500445024333
72400605334212430
oct261646663037501
947236185466823
1012220101312321
113991574682511
1214544072550a9
136a84733995b6
143036555d9117
15162d15e74316
hexb1d36cc3f41

12220101312321 has 16 divisors (see below), whose sum is σ = 18621184995200. Its totient is φ = 6982885698048.

The previous prime is 12220101312313. The next prime is 12220101312323. The reversal of 12220101312321 is 12321310102221.

It is not a de Polignac number, because 12220101312321 - 23 = 12220101312313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220101312323) 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 15 ways as a sum of consecutive naturals, for example, 4523025 + ... + 6700593.

It is an arithmetic number, because the mean of its divisors is an integer number (1163824062200).

Almost surely, 212220101312321 is an apocalyptic number.

It is an amenable number.

12220101312321 is a deficient number, since it is larger than the sum of its proper divisors (6401083682879).

12220101312321 is a wasteful number, since it uses less digits than its factorization.

12220101312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444808.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12220101312321 its reverse (12321310102221), we get a palindrome (24541411414542).

The spelling of 12220101312321 in words is "twelve trillion, two hundred twenty billion, one hundred one million, three hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 7 21 267229 801687 1870603 2177569 5611809 6532707 15242983 45728949 581909586301 1745728758903 4073367104107 12220101312321