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12200011212221 = 747109367926983
BaseRepresentation
bin1011000110001000100101…
…0101011010010110111101
31121012022100202110102120022
42301202021111122112331
53044341110332242341
641540335140301525
72366264436165140
oct261421125322675
947168322412508
1012200011212221
113983aa53039a8
12145053b0a18a5
136a65c11362c1
143026ab37c057
1516253c35be4b
hexb188955a5bd

12200011212221 has 32 divisors (see below), whose sum is σ = 14409335930880. Its totient is φ = 10113121480896.

The previous prime is 12200011212173. The next prime is 12200011212223. The reversal of 12200011212221 is 12221211000221.

12200011212221 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 12200011212221 - 210 = 12200011211197 is a prime.

It is a super-2 number, since 2×122000112122212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12200011212221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200011212223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12697496 + ... + 13624478.

It is an arithmetic number, because the mean of its divisors is an integer number (450291747840).

Almost surely, 212200011212221 is an apocalyptic number.

It is an amenable number.

12200011212221 is a deficient number, since it is larger than the sum of its proper divisors (2209324718659).

12200011212221 is a wasteful number, since it uses less digits than its factorization.

12200011212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927513.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12200011212221 its reverse (12221211000221), we get a palindrome (24421222212442).

The spelling of 12200011212221 in words is "twelve trillion, two hundred billion, eleven million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 7 47 109 329 367 763 2569 5123 17249 35861 40003 120743 280021 926983 1880141 6488881 13160987 43568201 101041147 304977407 340202761 707288029 2381419327 4748933909 15989529767 33242537363 37082100949 111926708369 259574706643 1742858744603 12200011212221