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1226221200666 = 2327115411635341
BaseRepresentation
bin10001110110000000011…
…110101010010100011010
311100020002110112010011200
4101312000132222110122
5130042300111410131
62335152423535030
7154406622142140
oct21660036522432
94306073463150
101226221200666
1143304599a270
12179796bba476
138b82ab29467
14434c6b5d590
1521d6bbd52e6
hex11d807aa51a

1226221200666 has 96 divisors (see below), whose sum is σ = 3318514482816. Its totient is φ = 317910096000.

The previous prime is 1226221200649. The next prime is 1226221200709. The reversal of 1226221200666 is 6660021226221.

It is a super-3 number, since 3×12262212006663 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1226221200666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67845 + ... + 1567496.

It is an arithmetic number, because the mean of its divisors is an integer number (34567859196).

Almost surely, 21226221200666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226221200666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659257241408).

1226221200666 is an abundant number, since it is smaller than the sum of its proper divisors (2092293282150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1226221200666 is a wasteful number, since it uses less digits than its factorization.

1226221200666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635908 (or 1635905 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 1226221200666 its reverse (6660021226221), we get a palindrome (7886242426887).

The spelling of 1226221200666 in words is "one trillion, two hundred twenty-six billion, two hundred twenty-one million, two hundred thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 541 693 1082 1386 1623 3246 3787 4869 5951 7574 9738 11361 11902 17853 22722 34083 35706 41657 53559 68166 83314 107118 124971 249942 374913 749826 1635341 3270682 4906023 9812046 11447387 14718069 17988751 22894774 29436138 34342161 35977502 53966253 68684322 103026483 107932506 125921257 161898759 206052966 251842514 323797518 377763771 755527542 884719481 1133291313 1769438962 2266582626 2654158443 5308316886 6193036367 7962475329 9731914291 12386072734 15924950658 18579109101 19463828582 29195742873 37158218202 55737327303 58391485746 68123400037 87587228619 111474654606 136246800074 175174457238 204370200111 408740400222 613110600333 1226221200666