11021172316000 has 1152 divisors, whose sum is σ = 35690203680768. Its totient is φ = 3305111040000.

The previous prime is 11021172315983. The next prime is 11021172316019. The reversal of 11021172316000 is 61327112011.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 191 ways as a sum of consecutive naturals, for example, 6181251109 + ... + 6181252891.

It is an arithmetic number, because the mean of its divisors is an integer number (30981079584).

Almost surely, 2^{11021172316000} is an apocalyptic number.

11021172316000 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 11021172316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845101840384).

11021172316000 is an abundant number, since it is smaller than the sum of its proper divisors (24669031364768).

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

11021172316000 is a wasteful number, since it uses less digits than its factorization.

11021172316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

Adding to 11021172316000 its reverse (61327112011), we get a palindrome (11082499428011).

The spelling of 11021172316000 in words is "eleven trillion, twenty-one billion, one hundred seventy-two million, three hundred sixteen thousand".