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12211220121221 = 113135810029681
BaseRepresentation
bin1011000110110010010101…
…1100000000011010000101
31121020101021221000000002002
42301230211130000122011
53100032034322334341
641545431310155045
72400142263302132
oct261544534003205
947211257000062
1012211220121221
11398882745a160
121452748ab2a85
136a7689417034
14303051cad589
1516299641529b
hexb1b25700685

12211220121221 has 8 divisors (see below), whose sum is σ = 13751051397888. Its totient is φ = 10743008904000.

The previous prime is 12211220121151. The next prime is 12211220121281. The reversal of 12211220121221 is 12212102211221.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211220121221 is a prime.

It is a super-2 number, since 2×122112201212212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211220121193 and 12211220121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211220121281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17905014500 + ... + 17905015181.

It is an arithmetic number, because the mean of its divisors is an integer number (1718881424736).

Almost surely, 212211220121221 is an apocalyptic number.

12211220121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211220121221 is a deficient number, since it is larger than the sum of its proper divisors (1539831276667).

12211220121221 is a wasteful number, since it uses less digits than its factorization.

12211220121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35810029723.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12211220121221 its reverse (12212102211221), we get a palindrome (24423322332442).

Subtracting 12211220121221 from its reverse (12212102211221), we obtain a square (882090000 = 297002).

The spelling of 12211220121221 in words is "twelve trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 11 31 341 35810029681 393910326491 1110110920111 12211220121221