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12000211533351 = 3723593402307
BaseRepresentation
bin1010111010100000010001…
…0110000111111000100111
31120111012122101010010000000
42232220010112013320213
53033102413123031401
641304453203552343
72345662300013556
oct256500426077047
946435571103000
1012000211533351
113907296624a58
12141987a68b6b3
136907cc484652
142d6b55b23d9d
1515c2467a7186
hexaea04587e27

12000211533351 has 64 divisors (see below), whose sum is σ = 18811793341440. Its totient is φ = 7639385415552.

The previous prime is 12000211533293. The next prime is 12000211533367. The reversal of 12000211533351 is 15333511200021.

12000211533351 is a `hidden beast` number, since 120 + 0 + 0 + 2 + 1 + 1 + 533 + 3 + 5 + 1 = 666.

It is not a de Polignac number, because 12000211533351 - 214 = 12000211516967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000211533451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29627340 + ... + 30029646.

It is an arithmetic number, because the mean of its divisors is an integer number (293934270960).

Almost surely, 212000211533351 is an apocalyptic number.

12000211533351 is a deficient number, since it is larger than the sum of its proper divisors (6811581808089).

12000211533351 is an frugal number, since it uses more digits than its factorization.

12000211533351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402944 (or 402926 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 12000211533351 its reverse (15333511200021), we get a palindrome (27333722733372).

It can be divided in two parts, 1200021 and 1533351, that added together give a palindrome (2733372).

The spelling of 12000211533351 in words is "twelve trillion, two hundred eleven million, five hundred thirty-three thousand, three hundred fifty-one".

Divisors: 1 3 9 23 27 69 81 207 243 593 621 729 1779 1863 2187 5337 5589 13639 16011 16767 40917 48033 50301 122751 144099 368253 402307 432297 1104759 1206921 1296891 3314277 3620763 9253061 9942831 10862289 27759183 29828493 32586867 83277549 97760601 238568051 249832647 293281803 715704153 749497941 879845409 2147112459 2248493823 5487065173 6441337377 6745481469 16461195519 19324012131 20236444407 49383586557 57972036393 148150759671 173916109179 444452279013 521748327537 1333356837039 4000070511117 12000211533351