52132342120000 has 420 divisors, whose sum is σ = 144459265597020. Its totient is φ = 18593243136000.

The previous prime is 52132342119989. The next prime is 52132342120063. The reversal of 52132342120000 is 2124323125.

52132342120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 28420584561216 + 23711757558784 = 5331096^2 + 4869472^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 245373816 + ... + 245586184.

Almost surely, 2^{52132342120000} is an apocalyptic number.

52132342120000 is a gapful number since it is divisible by the number (50) 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 52132342120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72229632798510).

52132342120000 is an abundant number, since it is smaller than the sum of its proper divisors (92326923477020).

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

52132342120000 is a wasteful number, since it uses less digits than its factorization.

52132342120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212456 (or 212412 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 52132342120000 its reverse (2124323125), we get a palindrome (52134466443125).

The spelling of 52132342120000 in words is "fifty-two trillion, one hundred thirty-two billion, three hundred forty-two million, one hundred twenty thousand".