11020012000 has 96 divisors (see below), whose sum is σ = 28669062240. Its totient is φ = 4148684800.

The previous prime is 11020011971. The next prime is 11020012009. The reversal of 11020012000 is 21002011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13030 + ... + 149029.

It is an arithmetic number, because the mean of its divisors is an integer number (298636065).

Almost surely, 2^11020012000 is an apocalyptic number.

11020012000 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 11020012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14334531120).

11020012000 is an abundant number, since it is smaller than the sum of its proper divisors (17649050240).

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

11020012000 is a wasteful number, since it uses less digits than its factorization.

11020012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162101 (or 162083 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11020012000 its reverse (21002011), we get a palindrome (11041014011).

The spelling of 11020012000 in words is "eleven billion, twenty million, twelve thousand".