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12210066001221 = 311678951616961
BaseRepresentation
bin1011000110101110000010…
…1001011000110101000101
31121020021022111022122001220
42301223200221120311011
53100022203344014341
641545121001310553
72400101550401604
oct261534051306505
947207274278056
1012210066001221
113988294a3a780
121452486495459
136a75342978aa
14302d828c3a3b
15162929e3da66
hexb1ae0a58d45

12210066001221 has 32 divisors (see below), whose sum is σ = 18027215041536. Its totient is φ = 7288765440000.

The previous prime is 12210066001219. The next prime is 12210066001223.

12210066001221 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12210066001219) and next prime (12210066001223).

It is not a de Polignac number, because 12210066001221 - 21 = 12210066001219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210066001191 and 12210066001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210066001223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19482181 + ... + 20099141.

It is an arithmetic number, because the mean of its divisors is an integer number (563350470048).

Almost surely, 212210066001221 is an apocalyptic number.

12210066001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210066001221 is a deficient number, since it is larger than the sum of its proper divisors (5817149040315).

12210066001221 is a wasteful number, since it uses less digits than its factorization.

12210066001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625993.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1221006 and 6001221, that added together give a palindrome (7222227).

The spelling of 12210066001221 in words is "twelve trillion, two hundred ten billion, sixty-six million, one thousand, two hundred twenty-one".

Divisors: 1 3 11 33 67 201 737 2211 8951 26853 98461 295383 599717 616961 1799151 1850883 6596887 6786571 19790661 20359713 41336387 124009161 454700257 1364100771 5522417911 16567253733 60746597021 182239791063 370002000037 1110006000111 4070022000407 12210066001221