11012322321000 has 1536 divisors, whose sum is σ = 51328175109120. Its totient is φ = 2055103488000.

The previous prime is 11012322320959. The next prime is 11012322321001. The reversal of 11012322321000 is 12322321011.

11012322321000 is a `hidden beast` number, since 1 + 10 + 12 + 322 + 321 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11012322321001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 333316482 + ... + 333349518.

It is an arithmetic number, because the mean of its divisors is an integer number (33416780670).

Almost surely, 2^{11012322321000} is an apocalyptic number.

11012322321000 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 11012322321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25664087554560).

11012322321000 is an abundant number, since it is smaller than the sum of its proper divisors (40315852788120).

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

11012322321000 is a wasteful number, since it uses less digits than its factorization.

11012322321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33132 (or 33115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11012322321000 its reverse (12322321011), we get a palindrome (11024644642011).

The spelling of 11012322321000 in words is "eleven trillion, twelve billion, three hundred twenty-two million, three hundred twenty-one thousand".