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12221100000012 = 2231018425000001
BaseRepresentation
bin1011000111010111001001…
…0100110000001100001100
31121021022210110201211212210
42301311302110300030030
53100212303100000022
641554143522230420
72400642152006361
oct261656224601414
947238713654783
1012221100000012
113991a3738a342
1214546457b5410
136a85a2267367
1430370c0c4468
15162d73996a0c
hexb1d7253030c

12221100000012 has 12 divisors (see below), whose sum is σ = 28515900000056. Its totient is φ = 4073700000000.

The previous prime is 12221099999989. The next prime is 12221100000019. The reversal of 12221100000012 is 21000000112221.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1018425000001 = 12221100000012 / (1 + 2 + 2 + 2 + 1 + 1 + 0 + 0 + 0 + 0 + 0 + 0 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (12221100000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 509212499989 + ... + 509212500012.

Almost surely, 212221100000012 is an apocalyptic number.

12221100000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221100000012 is an abundant number, since it is smaller than the sum of its proper divisors (16294800000044).

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

12221100000012 is a wasteful number, since it uses less digits than its factorization.

12221100000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018425000008 (or 1018425000006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12221100000012 its reverse (21000000112221), we get a palindrome (33221100112233).

The spelling of 12221100000012 in words is "twelve trillion, two hundred twenty-one billion, one hundred million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 1018425000001 2036850000002 3055275000003 4073700000004 6110550000006 12221100000012