Search a number
-
+
20122221001200 = 2435289832922621
BaseRepresentation
bin1001001001101000100011…
…10101011011100111110000
32122020122222011211200000220
410210310101311123213300
510114140302034014300
6110444004250213040
74144532252262303
oct444642165334760
978218864750026
1020122221001200
11645887119623a
12230b9a3124180
13b2c6956737a6
144d7cc654ab3a
1524d659d05da0
hex124d11d5b9f0

20122221001200 has 240 divisors, whose sum is σ = 65193138309600. Its totient is φ = 5304762777600.

The previous prime is 20122221001193. The next prime is 20122221001217. The reversal of 20122221001200 is 210012222102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×201222210012002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20122221001200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889525890 + ... + 889548510.

It is an arithmetic number, because the mean of its divisors is an integer number (271638076290).

Almost surely, 220122221001200 is an apocalyptic number.

20122221001200 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 20122221001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32596569154800).

20122221001200 is an abundant number, since it is smaller than the sum of its proper divisors (45070917308400).

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

20122221001200 is a wasteful number, since it uses less digits than its factorization.

20122221001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31060 (or 31049 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20122221001200 its reverse (210012222102), we get a palindrome (20332233223302).

The spelling of 20122221001200 in words is "twenty trillion, one hundred twenty-two billion, two hundred twenty-one million, one thousand, two hundred".