11220600816000 has 768 divisors, whose sum is σ = 42195645273600. Its totient is φ = 2963004364800.

The previous prime is 11220600815987. The next prime is 11220600816013. The reversal of 11220600816000 is 61800602211.

It is an interprime number because it is at equal distance from previous prime (11220600815987) and next prime (11220600816013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400449991 + ... + 400478009.

It is an arithmetic number, because the mean of its divisors is an integer number (54942246450).

Almost surely, 2^{11220600816000} is an apocalyptic number.

11220600816000 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 11220600816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097822636800).

11220600816000 is an abundant number, since it is smaller than the sum of its proper divisors (30975044457600).

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

11220600816000 is an equidigital number, since it uses as much as digits as its factorization.

11220600816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28166 (or 28132 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11220600816000 in words is "eleven trillion, two hundred twenty billion, six hundred million, eight hundred sixteen thousand".