2011200121224 has 96 divisors (see below), whose sum is σ = 6225367512000. Its totient is φ = 574607903616.

The previous prime is 2011200121223. The next prime is 2011200121253. The reversal of 2011200121224 is 4221210021102.

2011200121224 is a `hidden beast` number, since 201 + 120 + 0 + 121 + 224 = 666.

It is a super-2 number, since 2×2011200121224² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2011200121197 and 2011200121206.

It is not an unprimeable number, because it can be changed into a prime (2011200121223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18886722 + ... + 18992910.

It is an arithmetic number, because the mean of its divisors is an integer number (64847578250).

Almost surely, 2^{2011200121224} is an apocalyptic number.

2011200121224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011200121224 is an abundant number, since it is smaller than the sum of its proper divisors (4214167390776).

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

2011200121224 is a wasteful number, since it uses less digits than its factorization.

2011200121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143787 (or 143780 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2011200121224 its reverse (4221210021102), we get a palindrome (6232410142326).

The spelling of 2011200121224 in words is "two trillion, eleven billion, two hundred million, one hundred twenty-one thousand, two hundred twenty-four".