213122420202400 has 144 divisors (see below), whose sum is σ = 524090985717600. Its totient is φ = 84625520348160.

The previous prime is 213122420202397. The next prime is 213122420202407. The reversal of 213122420202400 is 4202024221312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (213122420202407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963882259 + ... + 964103341.

It is an arithmetic number, because the mean of its divisors is an integer number (3639520734150).

Almost surely, 2^{213122420202400} is an apocalyptic number.

213122420202400 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 213122420202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262045492858800).

213122420202400 is an abundant number, since it is smaller than the sum of its proper divisors (310968565515200).

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

213122420202400 is a wasteful number, since it uses less digits than its factorization.

213122420202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229911 (or 229898 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 213122420202400 its reverse (4202024221312), we get a palindrome (217324444423712).

The spelling of 213122420202400 in words is "two hundred thirteen trillion, one hundred twenty-two billion, four hundred twenty million, two hundred two thousand, four hundred".