11442124211000 has 192 divisors, whose sum is σ = 32150640787200. Its totient is φ = 3796464672000.

The previous prime is 11442124210963. The next prime is 11442124211101. The reversal of 11442124211000 is 11242124411.

11442124211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2247335 + ... + 5285334.

It is an arithmetic number, because the mean of its divisors is an integer number (167451254100).

Almost surely, 2^{11442124211000} is an apocalyptic number.

11442124211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442124211000 is an abundant number, since it is smaller than the sum of its proper divisors (20708516576200).

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

11442124211000 is a wasteful number, since it uses less digits than its factorization.

11442124211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532735 (or 7532714 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 11442124211000 its reverse (11242124411), we get a palindrome (11453366335411).

The spelling of 11442124211000 in words is "eleven trillion, four hundred forty-two billion, one hundred twenty-four million, two hundred eleven thousand".