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12240204221 = 717102858859
BaseRepresentation
bin10110110011001001…
…01011000110111101
31011121001002210121002
423121210223012331
5200031443013341
65342330020045
7612216006410
oct133144530675
934531083532
1012240204221
115211304663
122457277625
131200b575bb
148418a7b77
154b98bc29b
hex2d992b1bd

12240204221 has 8 divisors (see below), whose sum is σ = 14811675840. Its totient is φ = 9874450368.

The previous prime is 12240204217. The next prime is 12240204283.

12240204221 is nontrivially palindromic in base 10.

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 12240204221 - 22 = 12240204217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12240204193 and 12240204202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240204211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51429311 + ... + 51429548.

It is an arithmetic number, because the mean of its divisors is an integer number (1851459480).

Almost surely, 212240204221 is an apocalyptic number.

It is an amenable number.

12240204221 is a deficient number, since it is larger than the sum of its proper divisors (2571471619).

12240204221 is a wasteful number, since it uses less digits than its factorization.

12240204221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102858883.

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 12240204221 in words is "twelve billion, two hundred forty million, two hundred four thousand, two hundred twenty-one".

Divisors: 1 7 17 119 102858859 720012013 1748600603 12240204221