1233241342224 has 80 divisors (see below), whose sum is σ = 3251651285760. Its totient is φ = 402649390080.

The previous prime is 1233241342213. The next prime is 1233241342253. The reversal of 1233241342224 is 4222431423321.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181357 + ... + 1580940.

It is an arithmetic number, because the mean of its divisors is an integer number (40645641072).

Almost surely, 2^{1233241342224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233241342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625825642880).

1233241342224 is an abundant number, since it is smaller than the sum of its proper divisors (2018409943536).

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

1233241342224 is a wasteful number, since it uses less digits than its factorization.

1233241342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762608 (or 1762602 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 1233241342224 its reverse (4222431423321), we get a palindrome (5455672765545).

The spelling of 1233241342224 in words is "one trillion, two hundred thirty-three billion, two hundred forty-one million, three hundred forty-two thousand, two hundred twenty-four".