132024120400 has 120 divisors (see below), whose sum is σ = 320486757624. Its totient is φ = 52263321600.

The previous prime is 132024120379. The next prime is 132024120413. The reversal of 132024120400 is 4021420231.

It can be written as a sum of positive squares in 12 ways, for example, as 3877303824 + 128146816576 = 62268^2 + 357976^2 .

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, 15204060 + ... + 15212740.

Almost surely, 2^132024120400 is an apocalyptic number.

132024120400 is a gapful number since it is divisible by the number (10) 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 132024120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160243378812).

132024120400 is an abundant number, since it is smaller than the sum of its proper divisors (188462637224).

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

132024120400 is a wasteful number, since it uses less digits than its factorization.

132024120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9089 (or 9078 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 132024120400 its reverse (4021420231), we get a palindrome (136045540631).

The spelling of 132024120400 in words is "one hundred thirty-two billion, twenty-four million, one hundred twenty thousand, four hundred".