213332112400 has 240 divisors, whose sum is σ = 566034842880. Its totient is φ = 76621619200.

The previous prime is 213332112397. The next prime is 213332112421. The reversal of 213332112400 is 4211233312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 193410249 + ... + 193411351.

It is an arithmetic number, because the mean of its divisors is an integer number (2358478512).

Almost surely, 2^213332112400 is an apocalyptic number.

213332112400 is a gapful number since it is divisible by the number (20) 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 213332112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283017421440).

213332112400 is an abundant number, since it is smaller than the sum of its proper divisors (352702730480).

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

213332112400 is a wasteful number, since it uses less digits than its factorization.

213332112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213332112400 its reverse (4211233312), we get a palindrome (217543345712).

The spelling of 213332112400 in words is "two hundred thirteen billion, three hundred thirty-two million, one hundred twelve thousand, four hundred".