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12214032404211 = 32114117189175061
BaseRepresentation
bin1011000110111100110100…
…0100000000111011110011
31121020122112220210210002100
42301233031010000323303
53100103314243413321
641551014331151443
72400302052305661
oct261571504007363
947218486723070
1012214032404211
113989a3a966a80
1214531b28a5583
136a7a16c55001
1430323b5adc31
15162aad279326
hexb1bcd100ef3

12214032404211 has 48 divisors (see below), whose sum is σ = 19717036990560. Its totient is φ = 7221435072000.

The previous prime is 12214032404209. The next prime is 12214032404237. The reversal of 12214032404211 is 11240423041221.

12214032404211 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 40 + 3 + 2 + 404 + 211 = 666.

12214032404211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12214032404211 - 21 = 12214032404209 is a prime.

It is a super-2 number, since 2×122140324042112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12214032404201) 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, 69682621 + ... + 69857681.

It is an arithmetic number, because the mean of its divisors is an integer number (410771603970).

Almost surely, 212214032404211 is an apocalyptic number.

12214032404211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12214032404211 is a deficient number, since it is larger than the sum of its proper divisors (7503004586349).

12214032404211 is a wasteful number, since it uses less digits than its factorization.

12214032404211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192308 (or 192305 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12214032404211 its reverse (11240423041221), we get a palindrome (23454455445432).

The spelling of 12214032404211 in words is "twelve trillion, two hundred fourteen billion, thirty-two million, four hundred four thousand, two hundred eleven".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 17189 51567 154701 175061 189079 525183 567237 704749 1575549 1701711 1925671 2114247 5777013 6342741 7177501 7752239 17331039 21532503 23256717 64597509 69770151 78952511 236857533 710572599 3009123529 9027370587 27082111761 33100358819 99301076457 123374064689 297903229371 370122194067 1110366582201 1357114711579 4071344134737 12214032404211