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12001122120221 = 1317292207984811
BaseRepresentation
bin1010111010100011101010…
…0111101111001000011101
31120111021222211112201100122
42232220322213233020131
53033111244230321341
641305123413004325
72346023664615023
oct256507247571035
946437884481318
1012001122120221
113907713628393
121419a936236a5
13690916016a50
142d6c00a38713
1515c29b6c594b
hexaea3a9ef21d

12001122120221 has 32 divisors (see below), whose sum is σ = 14157226137600. Its totient is φ = 10066211527680.

The previous prime is 12001122120217. The next prime is 12001122120259. The reversal of 12001122120221 is 12202122110021.

It is a cyclic number.

It is not a de Polignac number, because 12001122120221 - 22 = 12001122120217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12001122120221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001122120521) 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, 141461906 + ... + 141546716.

It is an arithmetic number, because the mean of its divisors is an integer number (442413316800).

Almost surely, 212001122120221 is an apocalyptic number.

It is an amenable number.

12001122120221 is a deficient number, since it is larger than the sum of its proper divisors (2156104017379).

12001122120221 is a wasteful number, since it uses less digits than its factorization.

12001122120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106949.

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

Adding to 12001122120221 its reverse (12202122110021), we get a palindrome (24203244230242).

The spelling of 12001122120221 in words is "twelve trillion, one billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 13 17 29 221 377 493 6409 22079 84811 287027 375343 640291 1102543 1441787 2459519 4879459 8323783 10884947 18743231 31973747 41811823 141504311 543553699 1872542069 24343046897 31833215173 54303720001 413831797249 705948360013 923163240017 12001122120221