11000212211040 has 384 divisors, whose sum is σ = 38123095191552. Its totient is φ = 2649226936320.

The previous prime is 11000212210997. The next prime is 11000212211041. The reversal of 11000212211040 is 4011221200011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000212211041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1323568485 + ... + 1323576795.

It is an arithmetic number, because the mean of its divisors is an integer number (99278893728).

Almost surely, 2^{11000212211040} is an apocalyptic number.

11000212211040 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 11000212211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061547595776).

11000212211040 is an abundant number, since it is smaller than the sum of its proper divisors (27122882980512).

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

11000212211040 is a wasteful number, since it uses less digits than its factorization.

11000212211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12902 (or 12894 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11000212211040 its reverse (4011221200011), we get a palindrome (15011433411051).

The spelling of 11000212211040 in words is "eleven trillion, two hundred twelve million, two hundred eleven thousand, forty".