5132400120 has 96 divisors (see below), whose sum is σ = 16722781920. Its totient is φ = 1365154560.

The previous prime is 5132400107. The next prime is 5132400121. The reversal of 5132400120 is 210042315.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5132400093 and 5132400102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5132400121) 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, 124965 + ... + 160875.

It is an arithmetic number, because the mean of its divisors is an integer number (174195645).

Almost surely, 2^5132400120 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 5132400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361390960).

5132400120 is an abundant number, since it is smaller than the sum of its proper divisors (11590381800).

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

5132400120 is a wasteful number, since it uses less digits than its factorization.

5132400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36325 (or 36318 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5132400120 is about 71640.7713526313. The cubic root of 5132400120 is about 1724.9380494450.

Adding to 5132400120 its reverse (210042315), we get a palindrome (5342442435).

The spelling of 5132400120 in words is "five billion, one hundred thirty-two million, four hundred thousand, one hundred twenty".