11211000000 has 392 divisors, whose sum is σ = 38456695248. Its totient is φ = 2880000000.

The previous prime is 11210999993. The next prime is 11211000011. The reversal of 11211000000 is 11211.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 110999950 + ... + 111000050.

Almost surely, 2^11211000000 is an apocalyptic number.

11211000000 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 11211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19228347624).

11211000000 is an abundant number, since it is smaller than the sum of its proper divisors (27245695248).

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

11211000000 is an frugal number, since it uses more digits than its factorization.

11211000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11211000000 its reverse (11211), we get a palindrome (11211011211).

Multiplying 11211000000 by its reverse (11211), we get a square (125686521000000 = 11211000²).

11211000000 divided by its reverse (11211) gives a 6-th power (1000000 = 10⁶).

The spelling of 11211000000 in words is "eleven billion, two hundred eleven million", and thus it is an aban number.