1332121824 has 144 divisors (see below), whose sum is σ = 4203239040. Its totient is φ = 396775680.

The previous prime is 1332121823. The next prime is 1332121831. The reversal of 1332121824 is 4281212331.

It is a tau number, because it is divible by the number of its divisors (144).

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 (1332121823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183349 + ... + 190475.

It is an arithmetic number, because the mean of its divisors is an integer number (29189160).

Almost surely, 2^1332121824 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 1332121824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101619520).

1332121824 is an abundant number, since it is smaller than the sum of its proper divisors (2871117216).

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

1332121824 is a wasteful number, since it uses less digits than its factorization.

1332121824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213 (or 7202 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1332121824 is about 36498.2441221492. The cubic root of 1332121824 is about 1100.3089556401.

The spelling of 1332121824 in words is "one billion, three hundred thirty-two million, one hundred twenty-one thousand, eight hundred twenty-four".