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20111221001221 = 76117323734219
BaseRepresentation
bin1001001001010100000100…
…01011110000110000000101
32122012121120120101202211021
410210222002023300300011
510114000240034014341
6110434544542111141
74143662542646440
oct444520213606005
978177516352737
1020111221001221
116454136a58469
12230983327b4b1
13b2b63174916c
144d756167a657
1524d2142669d1
hex124a822f0c05

20111221001221 has 48 divisors (see below), whose sum is σ = 23565437568640. Its totient is φ = 16808407407360.

The previous prime is 20111221001177. The next prime is 20111221001299. The reversal of 20111221001221 is 12210012211102.

It is not a de Polignac number, because 20111221001221 - 211 = 20111220999173 is a prime.

It is a super-2 number, since 2×201112210012212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20111221001195 and 20111221001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111221011221) 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, 4766819650 + ... + 4766823868.

Almost surely, 220111221001221 is an apocalyptic number.

It is an amenable number.

20111221001221 is a deficient number, since it is larger than the sum of its proper divisors (3454216567419).

20111221001221 is an equidigital number, since it uses as much as digits as its factorization.

20111221001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20111221001221 its reverse (12210012211102), we get a palindrome (32321233212323).

The spelling of 20111221001221 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-one million, one thousand, two hundred twenty-one".

Divisors: 1 7 61 173 373 427 1211 2611 4219 10553 22753 29533 29929 64529 73871 159271 209503 257359 451703 729887 1573687 1801513 1825669 3936269 5109209 11015809 11163517 12779683 27553883 44523107 78144619 95994907 126270451 272247851 311661749 671964349 680974537 883893157 1905734957 4766821759 7702497511 16607118911 47098878223 53917482577 116249832377 329692147561 2873031571603 20111221001221