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20221222121000 = 2353173197959063
BaseRepresentation
bin1001001100100000111101…
…10000101110111000101000
32122121010111201220122020122
410212100132300232320220
510122301030330333000
6111001300131542412
74154635510022525
oct446203660567050
978533451818218
1020221222121000
1164968547a290a
12232701245aa08
13b38b12248954
144dc9d8a7214c
152510014d1085
hex12641ec2ee28

20221222121000 has 128 divisors (see below), whose sum is σ = 47616026515200. Its totient is φ = 8037534956800.

The previous prime is 20221222120999. The next prime is 20221222121003. The reversal of 20221222121000 is 12122212202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20221222121000.

It is not an unprimeable number, because it can be changed into a prime (20221222121003) 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, 342337469 + ... + 342396531.

It is an arithmetic number, because the mean of its divisors is an integer number (372000207150).

Almost surely, 220221222121000 is an apocalyptic number.

20221222121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221222121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808013257600).

20221222121000 is an abundant number, since it is smaller than the sum of its proper divisors (27394804394200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20221222121000 is a wasteful number, since it uses less digits than its factorization.

20221222121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61236 (or 61222 counting only the distinct ones).

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

Adding to 20221222121000 its reverse (12122212202), we get a palindrome (20233344333202).

The spelling of 20221222121000 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 250 346 500 692 865 1000 1384 1730 1979 3460 3958 4325 6920 7916 8650 9895 15832 17300 19790 21625 34600 39580 43250 49475 59063 79160 86500 98950 118126 173000 197900 236252 247375 295315 342367 395800 472504 494750 590630 684734 989500 1181260 1369468 1476575 1711835 1979000 2362520 2738936 2953150 3423670 5906300 6847340 7382875 8559175 10217899 11812600 13694680 14765750 17118350 20435798 29531500 34236700 40871596 42795875 51089495 59063000 68473400 81743192 85591750 102178990 116885677 171183500 204357980 233771354 255447475 342367000 408715960 467542708 510894950 584428385 935085416 1021789900 1168856770 1277237375 2043579800 2337713540 2554474750 2922141925 4675427080 5108949500 5844283850 10217899000 11688567700 14610709625 20221222121 23377135400 29221419250 40442444242 58442838500 80884888484 101106110605 116885677000 161769776968 202212221210 404424442420 505530553025 808848884840 1011061106050 2022122212100 2527652765125 4044244424200 5055305530250 10110611060500 20221222121000