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21362661222012 = 2232111259190722469
BaseRepresentation
bin1001101101101111000011…
…10101010110011001111100
32210122020202120221211221100
410312313201311112121330
510300001212233101022
6113233512053133100
74333254442215615
oct466674165263174
983566676854840
1021362661222012
116896943377820
12249028802a190
13bbc64b295526
1453bd5b8b6c0c
15270a59e841ac
hex136de1d5667c

21362661222012 has 144 divisors (see below), whose sum is σ = 58989487939200. Its totient is φ = 6464712247680.

The previous prime is 21362661221963. The next prime is 21362661222013. The reversal of 21362661222012 is 21022216626312.

21362661222012 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 2 + 6 + 612 + 2 + 20 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21362661222013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950750314 + ... + 950772782.

It is an arithmetic number, because the mean of its divisors is an integer number (409649221800).

Almost surely, 221362661222012 is an apocalyptic number.

21362661222012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21362661222012 is an abundant number, since it is smaller than the sum of its proper divisors (37626826717188).

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

21362661222012 is a wasteful number, since it uses less digits than its factorization.

21362661222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25656 (or 25651 counting only the distinct ones).

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

Adding to 21362661222012 its reverse (21022216626312), we get a palindrome (42384877848324).

The spelling of 21362661222012 in words is "twenty-one trillion, three hundred sixty-two billion, six hundred sixty-one million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1259 1907 2518 3777 3814 5036 5721 7554 7628 11331 11442 13849 15108 17163 20977 22469 22662 22884 27698 34326 41547 41954 44938 45324 55396 62931 67407 68652 83094 83908 89876 124641 125862 134814 166188 188793 202221 247159 249282 251724 269628 377586 404442 494318 498564 741477 755172 808884 988636 1482954 2224431 2400913 2965908 4448862 4801826 7202739 8897724 9603652 14405478 21608217 26410043 28288471 28810956 42848383 43216434 52820086 56576942 79230129 84865413 85696766 86432868 105640172 113153884 128545149 158460258 169730826 171393532 237690387 254596239 257090298 311173181 316920516 339461652 385635447 471332213 475380774 509192478 514180596 622346362 771270894 933519543 942664426 950761548 1018384956 1244692724 1413996639 1542541788 1867039086 1885328852 2800558629 2827993278 3734078172 4241989917 5601117258 5655986556 8483979834 11202234516 16967959668 53946114197 107892228394 161838342591 215784456788 323676685182 485515027773 593407256167 647353370364 971030055546 1186814512334 1780221768501 1942060111092 2373629024668 3560443537002 5340665305503 7120887074004 10681330611006 21362661222012