5200120400 has 30 divisors (see below), whose sum is σ = 12493290222. Its totient is φ = 2080048000.

The previous prime is 5200120381. The next prime is 5200120403. The reversal of 5200120400 is 40210025.

It can be written as a sum of positive squares in 3 ways, for example, as 17272336 + 5182848064 = 4156^2 + 71992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200120403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6499751 + ... + 6500550.

Almost surely, 2^5200120400 is an apocalyptic number.

5200120400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5200120400 is an abundant number, since it is smaller than the sum of its proper divisors (7293169822).

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

5200120400 is a wasteful number, since it uses less digits than its factorization.

5200120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13000319 (or 13000308 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 5200120400 is about 72111.8603282428. The cubic root of 5200120400 is about 1732.4915817566.

Adding to 5200120400 its reverse (40210025), we get a palindrome (5240330425).

The spelling of 5200120400 in words is "five billion, two hundred million, one hundred twenty thousand, four hundred".