1332124416 has 216 divisors, whose sum is σ = 4426682624. Its totient is φ = 377395200.

The previous prime is 1332124379. The next prime is 1332124421. The reversal of 1332124416 is 6144212331.

It is a happy number.

1332124416 is a `hidden beast` number, since 1 + 3 + 3 + 212 + 441 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1332124416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2435055 + ... + 2435601.

Almost surely, 2^1332124416 is an apocalyptic number.

1332124416 is a gapful number since it is divisible by the number (16) 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 1332124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213341312).

1332124416 is an abundant number, since it is smaller than the sum of its proper divisors (3094558208).

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

1332124416 is a wasteful number, since it uses less digits than its factorization.

1332124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 710 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1332124416 is about 36498.2796306894. The cubic root of 1332124416 is about 1100.3096692883.

Adding to 1332124416 its reverse (6144212331), we get a palindrome (7476336747).

The spelling of 1332124416 in words is "one billion, three hundred thirty-two million, one hundred twenty-four thousand, four hundred sixteen".