5213122400000 has 432 divisors, whose sum is σ = 13614180699168. Its totient is φ = 1990010880000.

The previous prime is 5213122399999. The next prime is 5213122400027. The reversal of 5213122400000 is 42213125.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568798339 + ... + 1568801661.

It is an arithmetic number, because the mean of its divisors is an integer number (31514307174).

Almost surely, 2^{5213122400000} is an apocalyptic number.

5213122400000 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 5213122400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807090349584).

5213122400000 is an abundant number, since it is smaller than the sum of its proper divisors (8401058299168).

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

5213122400000 is an frugal number, since it uses more digits than its factorization.

5213122400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 5213122400000 its reverse (42213125), we get a palindrome (5213164613125).

The spelling of 5213122400000 in words is "five trillion, two hundred thirteen billion, one hundred twenty-two million, four hundred thousand".