11211144012 has 144 divisors (see below), whose sum is σ = 30679165440. Its totient is φ = 3533793120.

The previous prime is 11211143987. The next prime is 11211144031. The reversal of 11211144012 is 21044111211.

11211144012 is a `hidden beast` number, since 1 + 1 + 211 + 1 + 440 + 12 = 666.

It is a super-2 number, since 2×11211144012² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42627793 + ... + 42628055.

It is an arithmetic number, because the mean of its divisors is an integer number (213049760).

Almost surely, 2^11211144012 is an apocalyptic number.

11211144012 is a gapful number since it is divisible by the number (12) 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 11211144012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339582720).

11211144012 is an abundant number, since it is smaller than the sum of its proper divisors (19468021428).

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

11211144012 is a wasteful number, since it uses less digits than its factorization.

11211144012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11211144012 its reverse (21044111211), we get a palindrome (32255255223).

The spelling of 11211144012 in words is "eleven billion, two hundred eleven million, one hundred forty-four thousand, twelve".