212144343130400 has 144 divisors (see below), whose sum is σ = 523073243294784. Its totient is φ = 84010134727680.

The previous prime is 212144343130397. The next prime is 212144343130403. The reversal of 212144343130400 is 4031343441212.

It is an interprime number because it is at equal distance from previous prime (212144343130397) and next prime (212144343130403).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (212144343130403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292734899 + ... + 293458701.

It is an arithmetic number, because the mean of its divisors is an integer number (3632453078436).

Almost surely, 2^{212144343130400} is an apocalyptic number.

212144343130400 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 212144343130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261536621647392).

212144343130400 is an abundant number, since it is smaller than the sum of its proper divisors (310928900164384).

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

212144343130400 is a wasteful number, since it uses less digits than its factorization.

212144343130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727483 (or 727470 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 212144343130400 its reverse (4031343441212), we get a palindrome (216175686571612).

The spelling of 212144343130400 in words is "two hundred twelve trillion, one hundred forty-four billion, three hundred forty-three million, one hundred thirty thousand, four hundred".