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12211200222021 = 3217373301653461
BaseRepresentation
bin1011000110110010010001…
…0000000110001101000101
31121020101020112120000111200
42301230210100012031011
53100032014224101041
641545425315453113
72400141632203023
oct261544420061505
947211215500450
1012211200222021
1139888171a8639
1214527422b7199
136a768526a768
1430304d3ad713
151629947d41b6
hexb1b24406345

12211200222021 has 48 divisors (see below), whose sum is σ = 19186548711408. Its totient is φ = 7452580608000.

The previous prime is 12211200222019. The next prime is 12211200222043. The reversal of 12211200222021 is 12022200211221.

It is a happy number.

12211200222021 is a `hidden beast` number, since 1 + 221 + 1 + 200 + 2 + 220 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 152423091396 + 12058777130625 = 390414^2 + 3472575^2 .

It is not a de Polignac number, because 12211200222021 - 21 = 12211200222019 is a prime.

It is a super-2 number, since 2×122112002220212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211200221985 and 12211200222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211200222061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18360231 + ... + 19013691.

It is an arithmetic number, because the mean of its divisors is an integer number (399719764821).

Almost surely, 212211200222021 is an apocalyptic number.

It is an amenable number.

12211200222021 is a deficient number, since it is larger than the sum of its proper divisors (6975348489387).

12211200222021 is a wasteful number, since it uses less digits than its factorization.

12211200222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656822 (or 656819 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12211200222021 its reverse (12022200211221), we get a palindrome (24233400433242).

The spelling of 12211200222021 in words is "twelve trillion, two hundred eleven billion, two hundred million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 3301 5661 9903 29709 56117 122137 168351 366411 505053 653461 1099233 1960383 2076329 5881149 6228987 11108837 18686961 24178057 33326511 72534171 99979533 217602513 411026969 1233080907 2157074761 3699242721 6471224283 19413672849 36670270937 79811766157 110010812811 239435298471 330032438433 718305895413 1356800024669 4070400074007 12211200222021