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12044224222344 = 23326716633150107
BaseRepresentation
bin1010111101000100001110…
…1101001101010010001000
31120122102020200202100222100
42233101003231031102020
53034313032400103334
641341012404353400
72352111050500236
oct257210355152210
946572220670870
1012044224222344
113923a21643696
1214263023a5860
136949c497c0a2
142d8d2d1c9956
1515d4706bdc99
hexaf443b4d488

12044224222344 has 96 divisors (see below), whose sum is σ = 33108847218720. Its totient is φ = 3954555779328.

The previous prime is 12044224222319. The next prime is 12044224222363. The reversal of 12044224222344 is 44322242244021.

12044224222344 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 422 + 4 + 2 + 223 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12044224222299 and 12044224222308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80162539 + ... + 80312645.

It is an arithmetic number, because the mean of its divisors is an integer number (344883825195).

Almost surely, 212044224222344 is an apocalyptic number.

It is an amenable number.

12044224222344 is an abundant number, since it is smaller than the sum of its proper divisors (21064622996376).

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

12044224222344 is a wasteful number, since it uses less digits than its factorization.

12044224222344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166819 (or 166812 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 12044224222344 its reverse (44322242244021), we get a palindrome (56366466466365).

The spelling of 12044224222344 in words is "twelve trillion, forty-four billion, two hundred twenty-four million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 16633 33266 49899 66532 99798 133064 149697 150107 199596 299394 300214 399192 450321 598788 600428 900642 1114411 1197576 1200856 1350963 1801284 2228822 2701926 3343233 3602568 4457644 5403852 6686466 8915288 10029699 10057169 10807704 13372932 20059398 20114338 26745864 30171507 40118796 40228676 60343014 80237592 80457352 90514521 120686028 181029042 241372056 362058084 724116168 2496729731 4993459462 7490189193 9986918924 14980378386 19973837848 22470567579 29960756772 44941135158 59921513544 89882270316 167280891977 179764540632 334561783954 501842675931 669123567908 1003685351862 1338247135816 1505528027793 2007370703724 3011056055586 4014741407448 6022112111172 12044224222344