2013121224 has 48 divisors (see below), whose sum is σ = 5454528300. Its totient is φ = 670754304.

The previous prime is 2013121211. The next prime is 2013121237. The reversal of 2013121224 is 4221213102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2013121211) and next prime (2013121237).

It can be written as a sum of positive squares in 2 ways, for example, as 1790813124 + 222308100 = 42318^2 + 14910^2 .

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 = 2013121197 and 2013121206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226692 + ... + 235404.

Almost surely, 2^2013121224 is an apocalyptic number.

2013121224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2013121224 is an abundant number, since it is smaller than the sum of its proper divisors (3441407076).

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

2013121224 is a wasteful number, since it uses less digits than its factorization.

2013121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11934 (or 11927 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2013121224 is about 44867.8194700835. The cubic root of 2013121224 is about 1262.6703306965.

Adding to 2013121224 its reverse (4221213102), we get a palindrome (6234334326).

The spelling of 2013121224 in words is "two billion, thirteen million, one hundred twenty-one thousand, two hundred twenty-four".