212303414400 has 768 divisors, whose sum is σ = 888435993600. Its totient is φ = 43274649600.

The previous prime is 212303414387. The next prime is 212303414413. The reversal of 212303414400 is 4414303212.

It is an interprime number because it is at equal distance from previous prime (212303414387) and next prime (212303414413).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39174891 + ... + 39180309.

It is an arithmetic number, because the mean of its divisors is an integer number (1156817700).

Almost surely, 2^212303414400 is an apocalyptic number.

212303414400 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 212303414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444217996800).

212303414400 is an abundant number, since it is smaller than the sum of its proper divisors (676132579200).

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

212303414400 is a wasteful number, since it uses less digits than its factorization.

212303414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212303414400 its reverse (4414303212), we get a palindrome (216717717612).

The spelling of 212303414400 in words is "two hundred twelve billion, three hundred three million, four hundred fourteen thousand, four hundred".