2011224013000 has 64 divisors (see below), whose sum is σ = 4708306062720. Its totient is φ = 804140568000.

The previous prime is 2011224012937. The next prime is 2011224013013. The reversal of 2011224013000 is 3104221102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1875859 + ... + 2746141.

It is an arithmetic number, because the mean of its divisors is an integer number (73567282230).

Almost surely, 2^{2011224013000} is an apocalyptic number.

2011224013000 is a gapful number since it is divisible by the number (20) 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 2011224013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354153031360).

2011224013000 is an abundant number, since it is smaller than the sum of its proper divisors (2697082049720).

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

2011224013000 is a wasteful number, since it uses less digits than its factorization.

2011224013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872615 (or 872601 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2011224013000 its reverse (3104221102), we get a palindrome (2014328234102).

The spelling of 2011224013000 in words is "two trillion, eleven billion, two hundred twenty-four million, thirteen thousand".