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2022120202212 = 22321141137909091
BaseRepresentation
bin11101011011001111110…
…000011001111111100100
321011022110000220112212200
4131123033300121333210
5231112300232432322
64144541005414500
7266044011056355
oct35331760317744
97138400815780
102022120202212
1170a638157140
12287a97b6a430
131188ba281316
146dc2a59dd2c
15378eee518ac
hex1d6cfc19fe4

2022120202212 has 144 divisors (see below), whose sum is σ = 5753854177344. Its totient is φ = 593453952000.

The previous prime is 2022120202181. The next prime is 2022120202217. The reversal of 2022120202212 is 2122020212202.

2022120202212 is a `hidden beast` number, since 20 + 221 + 202 + 0 + 221 + 2 = 666.

It is a super-2 number, since 2×20221202022122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2022120202217) 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, 1769787 + ... + 2678877.

It is an arithmetic number, because the mean of its divisors is an integer number (39957320676).

Almost surely, 22022120202212 is an apocalyptic number.

2022120202212 is a gapful number since it is divisible by the number (22) 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 2022120202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876927088672).

2022120202212 is an abundant number, since it is smaller than the sum of its proper divisors (3731733975132).

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

2022120202212 is a wasteful number, since it uses less digits than its factorization.

2022120202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909290 (or 909285 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2022120202212 its reverse (2122020212202), we get a palindrome (4144140414414).

The spelling of 2022120202212 in words is "two trillion, twenty-two billion, one hundred twenty million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 137 164 198 246 274 369 396 411 451 492 548 738 822 902 1233 1353 1476 1507 1644 1804 2466 2706 3014 4059 4521 4932 5412 5617 6028 8118 9042 11234 13563 16236 16851 18084 22468 27126 33702 50553 54252 61787 67404 101106 123574 185361 202212 247148 370722 556083 741444 909091 1112166 1818182 2224332 2727273 3636364 5454546 8181819 10000001 10909092 16363638 20000002 30000003 32727276 37272731 40000004 60000006 74545462 90000009 111818193 120000012 124545467 149090924 180000018 223636386 249090934 335454579 360000036 373636401 410000041 447272772 498181868 670909158 747272802 820000082 1120909203 1230000123 1341818316 1370000137 1494545604 1640000164 2241818406 2460000246 2740000274 3690000369 4110000411 4483636812 4920000492 5106364147 5480000548 7380000738 8220000822 10212728294 12330001233 14760001476 15319092441 16440001644 20425456588 24660002466 30638184882 45957277323 49320004932 56170005617 61276369764 91914554646 112340011234 168510016851 183829109292 224680022468 337020033702 505530050553 674040067404 1011060101106 2022120202212