11145204200000 has 168 divisors, whose sum is σ = 29769996176424. Its totient is φ = 4115151360000.

The previous prime is 11145204199979. The next prime is 11145204200017. The reversal of 11145204200000 is 240254111.

It is a happy number.

11145204200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 9419890425856 + 1725313774144 = 3069184^2 + 1313512^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456692 + ... + 4743308.

It is an arithmetic number, because the mean of its divisors is an integer number (177202358193).

Almost surely, 2^{11145204200000} is an apocalyptic number.

11145204200000 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 11145204200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14884998088212).

11145204200000 is an abundant number, since it is smaller than the sum of its proper divisors (18624791976424).

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

11145204200000 is an frugal number, since it uses more digits than its factorization.

11145204200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286667 (or 4286637 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 11145204200000 its reverse (240254111), we get a palindrome (11145444454111).

The spelling of 11145204200000 in words is "eleven trillion, one hundred forty-five billion, two hundred four million, two hundred thousand".