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20220012201221 = 7215119323895927
BaseRepresentation
bin1001001100011110101101…
…01001010000010100000101
32122121000101102020100022222
410212033112221100110011
510122241041110414341
6111000540111102125
74154563515620600
oct446172651202405
978530342210288
1020220012201221
116496293831208
122326935211945
13b3897b6902a1
144dc9220bd337
15250e8018644b
hex1263d6a50505

20220012201221 has 48 divisors (see below), whose sum is σ = 23813666622720. Its totient is φ = 17117397964800.

The previous prime is 20220012201211. The next prime is 20220012201241. The reversal of 20220012201221 is 12210221002202.

It is a happy number.

It is not a de Polignac number, because 20220012201221 - 210 = 20220012200197 is a prime.

It is a super-2 number, since 2×202200122012212 (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 20220012201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220012201211) 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 47 ways as a sum of consecutive naturals, for example, 3411505760 + ... + 3411511686.

It is an arithmetic number, because the mean of its divisors is an integer number (496118054640).

Almost surely, 220220012201221 is an apocalyptic number.

It is an amenable number.

20220012201221 is a deficient number, since it is larger than the sum of its proper divisors (3593654421499).

20220012201221 is a wasteful number, since it uses less digits than its factorization.

20220012201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20220012201221 its reverse (12210221002202), we get a palindrome (32430233203423).

The spelling of 20220012201221 in words is "twenty trillion, two hundred twenty billion, twelve million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 7 49 151 193 1057 1351 2389 5927 7399 9457 16723 29143 41489 117061 204001 290423 360739 461077 894977 1143911 1428007 2525173 3227539 6264839 8007377 14159603 17676211 22592773 43853873 56051639 69622627 99117221 172730561 487358389 693820547 1209113927 2138100053 2732803379 3411508723 8463797489 14966700371 19129623653 104766902597 133907365571 412653310229 2888573171603 20220012201221