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12011021003322 = 23211426114236499
BaseRepresentation
bin1010111011001000100010…
…1000111110101000111010
31120112020112201001002011200
42232302020220332220322
53033242032334101242
641313441544235030
72346524204003355
oct256621050765072
946466481032150
1012011021003322
113910933258810
12141b99676ba76
13691832a8c223
142d749d59929c
1515c67a75d04c
hexaec88a3ea3a

12011021003322 has 48 divisors (see below), whose sum is σ = 28396350684000. Its totient is φ = 3638848888800.

The previous prime is 12011021003291. The next prime is 12011021003383. The reversal of 12011021003322 is 22330012011021.

12011021003322 is a `hidden beast` number, since 1 + 20 + 110 + 210 + 0 + 3 + 322 = 666.

12011021003322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12011021003295 and 12011021003304.

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, 6274572 + ... + 7961927.

It is an arithmetic number, because the mean of its divisors is an integer number (591590639250).

Almost surely, 212011021003322 is an apocalyptic number.

12011021003322 is an abundant number, since it is smaller than the sum of its proper divisors (16385329680678).

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

12011021003322 is a wasteful number, since it uses less digits than its factorization.

12011021003322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14240779 (or 14240776 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12011021003322 its reverse (22330012011021), we get a palindrome (34341033014343).

The spelling of 12011021003322 in words is "twelve trillion, eleven billion, twenty-one million, three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 4261 8522 12783 25566 38349 46871 76698 93742 140613 281226 421839 843678 14236499 28472998 42709497 85418994 128128491 156601489 256256982 313202978 469804467 939608934 1409413401 2818826802 60661722239 121323444478 181985166717 363970333434 545955500151 667278944629 1091911000302 1334557889258 2001836833887 4003673667774 6005510501661 12011021003322