11205420000 has 120 divisors (see below), whose sum is σ = 36756215496. Its totient is φ = 2988096000.

The previous prime is 11205419987. The next prime is 11205420013. The reversal of 11205420000 is 2450211.

11205420000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11205419987) and next prime (11205420013).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11205420000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 33379 + ... + 153378.

Almost surely, 2^11205420000 is an apocalyptic number.

11205420000 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 11205420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378107748).

11205420000 is an abundant number, since it is smaller than the sum of its proper divisors (25550795496).

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

11205420000 is an equidigital number, since it uses as much as digits as its factorization.

11205420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186790 (or 186767 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 11205420000 its reverse (2450211), we get a palindrome (11207870211).

The spelling of 11205420000 in words is "eleven billion, two hundred five million, four hundred twenty thousand".