11023002120000 has 1120 divisors, whose sum is σ = 40392120384000. Its totient is φ = 2635186176000.

The previous prime is 11023002119999. The next prime is 11023002120017. The reversal of 11023002120000 is 2120032011.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 159 ways as a sum of consecutive naturals, for example, 10924679496 + ... + 10924680504.

It is an arithmetic number, because the mean of its divisors is an integer number (36064393200).

Almost surely, 2^{11023002120000} is an apocalyptic number.

11023002120000 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 11023002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196060192000).

11023002120000 is an abundant number, since it is smaller than the sum of its proper divisors (29369118264000).

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

11023002120000 is a wasteful number, since it uses less digits than its factorization.

11023002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11023002120000 its reverse (2120032011), we get a palindrome (11025122152011).

The spelling of 11023002120000 in words is "eleven trillion, twenty-three billion, two million, one hundred twenty thousand".