11011211211000 has 2048 divisors, whose sum is σ = 47847371120640. Its totient is φ = 2034450432000.

The previous prime is 11011211210999. The next prime is 11011211211031. The reversal of 11011211211000 is 11211211011.

11011211211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 12555542562 + ... + 12555543438.

It is an arithmetic number, because the mean of its divisors is an integer number (23362974180).

Almost surely, 2^{11011211211000} is an apocalyptic number.

11011211211000 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 11011211211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923685560320).

11011211211000 is an abundant number, since it is smaller than the sum of its proper divisors (36836159909640).

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

11011211211000 is a wasteful number, since it uses less digits than its factorization.

11011211211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11011211211000 its reverse (11211211011), we get a palindrome (11022422422011).

It can be divided in two parts, 11011211 and 211000, that added together give a palindrome (11222211).

The spelling of 11011211211000 in words is "eleven trillion, eleven billion, two hundred eleven million, two hundred eleven thousand".