212404301440320 has 1344 divisors, whose sum is σ = 820093518397440. Its totient is φ = 46293666693120.

The previous prime is 212404301440267. The next prime is 212404301440333. The reversal of 212404301440320 is 23044103404212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 39196214571 + ... + 39196219989.

It is an arithmetic number, because the mean of its divisors is an integer number (610188629760).

Almost surely, 2^{212404301440320} is an apocalyptic number.

212404301440320 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 212404301440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410046759198720).

212404301440320 is an abundant number, since it is smaller than the sum of its proper divisors (607689216957120).

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

212404301440320 is a wasteful number, since it uses less digits than its factorization.

212404301440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 212404301440320 its reverse (23044103404212), we get a palindrome (235448404844532).

The spelling of 212404301440320 in words is "two hundred twelve trillion, four hundred four billion, three hundred one million, four hundred forty thousand, three hundred twenty".