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1221000213223 = 719183120392459
BaseRepresentation
bin10001110001001001010…
…010001011001011100111
311022201121121022110211101
4101301021102023023213
5130001102023310343
62332530400020531
7154133344366330
oct21611122131347
94281547273741
101221000213223
1143090687510a
1217877a601747
138b1a827588b
144314d5b5287
1521b6367ae4d
hex11c4948b2e7

1221000213223 has 32 divisors (see below), whose sum is σ = 1470993408000. Its totient is φ = 990058606560.

The previous prime is 1221000213203. The next prime is 1221000213229. The reversal of 1221000213223 is 3223120001221.

It is a cyclic number.

It is not a de Polignac number, because 1221000213223 - 217 = 1221000082151 is a prime.

It is a super-2 number, since 2×12210002132232 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 1221000213223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221000213229) 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 31 ways as a sum of consecutive naturals, for example, 496542168 + ... + 496544626.

It is an arithmetic number, because the mean of its divisors is an integer number (45968544000).

Almost surely, 21221000213223 is an apocalyptic number.

1221000213223 is a deficient number, since it is larger than the sum of its proper divisors (249993194777).

1221000213223 is a wasteful number, since it uses less digits than its factorization.

1221000213223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1221000213223 its reverse (3223120001221), we get a palindrome (4444120214444).

The spelling of 1221000213223 in words is "one trillion, two hundred twenty-one billion, two hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 7 19 133 1831 2039 2459 12817 14273 17213 34789 38741 46721 243523 271187 327047 3733409 4502429 5013901 26133863 31517003 35097307 70934771 85546151 95264119 496543397 598823057 666848833 9180452731 64263169117 174428601889 1221000213223