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20222110120000 = 26541217415409
BaseRepresentation
bin1001001100100010100111…
…01100001011100001000000
32122121012210121211122212111
410212101103230023201000
510122304340142320000
6111001524212505104
74154666511626065
oct446212354134100
978535717748774
1020222110120000
11649716aa78688
12232721b91b194
13b38c241cca49
144dca80986c6c
1525105443bcba
hex126453b0b840

20222110120000 has 140 divisors (see below), whose sum is σ = 50185584894060. Its totient is φ = 8082178048000.

The previous prime is 20222110119983. The next prime is 20222110120019. The reversal of 20222110120000 is 2101122202.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 14081586471936 + 6140523648064 = 3752544^2 + 2478008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48472296 + ... + 48887704.

It is an arithmetic number, because the mean of its divisors is an integer number (358468463529).

Almost surely, 220222110120000 is an apocalyptic number.

20222110120000 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 20222110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25092792447030).

20222110120000 is an abundant number, since it is smaller than the sum of its proper divisors (29963474774060).

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

20222110120000 is an equidigital number, since it uses as much as digits as its factorization.

20222110120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416658 (or 416633 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20222110120000 its reverse (2101122202), we get a palindrome (20224211242202).

The spelling of 20222110120000 in words is "twenty trillion, two hundred twenty-two billion, one hundred ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1217 1250 1600 2000 2434 2500 4000 4868 5000 6085 8000 9736 10000 12170 19472 20000 24340 30425 38944 40000 48680 60850 77888 97360 121700 152125 194720 243400 304250 389440 415409 486800 608500 760625 830818 973600 1217000 1521250 1661636 1947200 2077045 2434000 3042500 3323272 4154090 4868000 6085000 6646544 8308180 9736000 10385225 12170000 13293088 16616360 20770450 24340000 26586176 33232720 41540900 48680000 51926125 66465440 83081800 103852250 132930880 166163600 207704500 259630625 332327200 415409000 505552753 519261250 664654400 830818000 1011105506 1038522500 1661636000 2022211012 2077045000 2527763765 3323272000 4044422024 4154090000 5055527530 8088844048 8308180000 10111055060 12638818825 16177688096 16616360000 20222110120 25277637650 32355376192 40444220240 50555275300 63194094125 80888440480 101110550600 126388188250 161776880960 202221101200 252776376500 315970470625 404442202400 505552753000 631940941250 808884404800 1011105506000 1263881882500 2022211012000 2527763765000 4044422024000 5055527530000 10111055060000 20222110120000