5012312432400 has 1200 divisors, whose sum is σ = 22174075990528. Its totient is φ = 1055918592000.

The previous prime is 5012312432383. The next prime is 5012312432401. The reversal of 5012312432400 is 42342132105.

5012312432400 is a `hidden beast` number, since 5 + 0 + 1 + 231 + 24 + 3 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5012312432401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3629479710 + ... + 3629481090.

Almost surely, 2^{5012312432400} is an apocalyptic number.

5012312432400 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 5012312432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11087037995264).

5012312432400 is an abundant number, since it is smaller than the sum of its proper divisors (17161763558128).

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

5012312432400 is a wasteful number, since it uses less digits than its factorization.

5012312432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 5012312432400 its reverse (42342132105), we get a palindrome (5054654564505).

The spelling of 5012312432400 in words is "five trillion, twelve billion, three hundred twelve million, four hundred thirty-two thousand, four hundred".