1333122144 has 96 divisors (see below), whose sum is σ = 3579448320. Its totient is φ = 434284032.

The previous prime is 1333122143. The next prime is 1333122151. The reversal of 1333122144 is 4412213331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333122143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2436879 + ... + 2437425.

It is an arithmetic number, because the mean of its divisors is an integer number (37285920).

Almost surely, 2^1333122144 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 1333122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789724160).

1333122144 is an abundant number, since it is smaller than the sum of its proper divisors (2246326176).

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

1333122144 is a wasteful number, since it uses less digits than its factorization.

1333122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1084 counting only the distinct ones).

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

The square root of 1333122144 is about 36511.9452234471. The cubic root of 1333122144 is about 1100.5843022453.

Adding to 1333122144 its reverse (4412213331), we get a palindrome (5745335475).

The spelling of 1333122144 in words is "one billion, three hundred thirty-three million, one hundred twenty-two thousand, one hundred forty-four".