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11211230220000 = 25354919203323
BaseRepresentation
bin1010001100100101000101…
…1001010000111011100000
31110200210010220120122111220
42203021101121100323200
52432141044414020000
635502211300135040
72234661510343446
oct243112131207340
943623126518456
1011211230220000
113632724201668
12131098a397480
136342a3276005
142aa8aad34b96
1514696a9e61a0
hexa3251650ee0

11211230220000 has 240 divisors, whose sum is σ = 36815274840960. Its totient is φ = 2986393536000.

The previous prime is 11211230219947. The next prime is 11211230220007. The reversal of 11211230220000 is 2203211211.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211230220007) 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, 55038339 + ... + 55241661.

It is an arithmetic number, because the mean of its divisors is an integer number (153396978504).

Almost surely, 211211230220000 is an apocalyptic number.

11211230220000 is a gapful number since it is divisible by the number (10) 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 11211230220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18407637420480).

11211230220000 is an abundant number, since it is smaller than the sum of its proper divisors (25604044620960).

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

11211230220000 is an equidigital number, since it uses as much as digits as its factorization.

11211230220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204275 (or 204252 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11211230220000 its reverse (2203211211), we get a palindrome (11213433431211).

The spelling of 11211230220000 in words is "eleven trillion, two hundred eleven billion, two hundred thirty million, two hundred twenty thousand".