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20212101220000 = 25545211939741
BaseRepresentation
bin1001001100001111111110…
…00111010000011010100000
32122120020222002022212020111
410212013333013100122200
510122123340403020000
6110553151111221104
74154163465445444
oct446077707203240
978506862285214
1020212101220000
1164929a42349a8
1223252a7977794
13b37cba717601
144dc3b1588824
15250b6a8c1cba
hex1261ff1d06a0

20212101220000 has 120 divisors (see below), whose sum is σ = 49820267576772. Its totient is φ = 8069318400000.

The previous prime is 20212101219913. The next prime is 20212101220009. The reversal of 20212101220000 is 2210121202.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 4698680510736 + 15513420709264 = 2167644^2 + 3938708^2 .

It is not an unprimeable number, because it can be changed into a prime (20212101220009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9450130 + ... + 11389870.

Almost surely, 220212101220000 is an apocalyptic number.

20212101220000 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 20212101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24910133788386).

20212101220000 is an abundant number, since it is smaller than the sum of its proper divisors (29608166356772).

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

20212101220000 is an equidigital number, since it uses as much as digits as its factorization.

20212101220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940292 (or 1940269 counting only the distinct ones).

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

Adding to 20212101220000 its reverse (2210121202), we get a palindrome (20214311341202).

The spelling of 20212101220000 in words is "twenty trillion, two hundred twelve billion, one hundred one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 521 625 800 1000 1042 1250 2000 2084 2500 2605 4000 4168 5000 5210 8336 10000 10420 13025 16672 20000 20840 26050 41680 52100 65125 83360 104200 130250 208400 260500 325625 416800 521000 651250 1042000 1302500 1939741 2084000 2605000 3879482 5210000 7758964 9698705 10420000 15517928 19397410 31035856 38794820 48493525 62071712 77589640 96987050 155179280 193974100 242467625 310358560 387948200 484935250 775896400 969870500 1010605061 1212338125 1551792800 1939741000 2021210122 2424676250 3879482000 4042420244 4849352500 5053025305 7758964000 8084840488 9698705000 10106050610 16169680976 19397410000 20212101220 25265126525 32339361952 38794820000 40424202440 50530253050 80848404880 101060506100 126325632625 161696809760 202121012200 252651265250 404242024400 505302530500 631628163125 808484048800 1010605061000 1263256326250 2021210122000 2526512652500 4042420244000 5053025305000 10106050610000 20212101220000