1233121344 has 336 divisors, whose sum is σ = 4149912960. Its totient is φ = 316293120.

The previous prime is 1233121343. The next prime is 1233121369. The reversal of 1233121344 is 4431213321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (1233121343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13855252 + ... + 13855340.

Almost surely, 2^1233121344 is an apocalyptic number.

1233121344 is a gapful number since it is divisible by the number (14) 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 1233121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074956480).

1233121344 is an abundant number, since it is smaller than the sum of its proper divisors (2916791616).

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

1233121344 is a wasteful number, since it uses less digits than its factorization.

1233121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1233121344 is about 35115.8275425769. The cubic root of 1233121344 is about 1072.3468284469.

Adding to 1233121344 its reverse (4431213321), we get a palindrome (5664334665).

The spelling of 1233121344 in words is "one billion, two hundred thirty-three million, one hundred twenty-one thousand, three hundred forty-four".