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20112101220000 = 25354643521309
BaseRepresentation
bin1001001001010101101101…
…01001100001111010100000
32122012200211220200111222210
410210222312221201322200
510114004040403020000
6110435212144202120
74144023421460106
oct444526651417240
978180756614883
1020112101220000
1164545488a98a9
122309a3a009340
13b2b741c07b8a
144d7606527c76
1524d266687350
hex124ab6a61ea0

20112101220000 has 240 divisors, whose sum is σ = 66074441035680. Its totient is φ = 5354875776000.

The previous prime is 20112101219963. The next prime is 20112101220007. The reversal of 20112101220000 is 2210121102.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20112101220007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38319346 + ... + 38840654.

It is an arithmetic number, because the mean of its divisors is an integer number (275310170982).

Almost surely, 220112101220000 is an apocalyptic number.

20112101220000 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 20112101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33037220517840).

20112101220000 is an abundant number, since it is smaller than the sum of its proper divisors (45962339815680).

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

20112101220000 is an equidigital number, since it uses as much as digits as its factorization.

20112101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521985 (or 521962 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20112101220000 its reverse (2210121102), we get a palindrome (20114311341102).

The spelling of 20112101220000 in words is "twenty trillion, one hundred twelve billion, one hundred one million, two hundred twenty thousand".