11012002112000 has 320 divisors, whose sum is σ = 27885942399744. Its totient is φ = 4336555622400.

The previous prime is 11012002111997. The next prime is 11012002112009. The reversal of 11012002112000 is 21120021011.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (11012002112009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3022782179 + ... + 3022785821.

Almost surely, 2^{11012002112000} is an apocalyptic number.

11012002112000 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 11012002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942971199872).

11012002112000 is an abundant number, since it is smaller than the sum of its proper divisors (16873940287744).

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

11012002112000 is an frugal number, since it uses more digits than its factorization.

11012002112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11012002112000 its reverse (21120021011), we get a palindrome (11033122133011).

The spelling of 11012002112000 in words is "eleven trillion, twelve billion, two million, one hundred twelve thousand".