213214400000 has 240 divisors, whose sum is σ = 608582110752. Its totient is φ = 73098240000.

The previous prime is 213214399943. The next prime is 213214400023. The reversal of 213214400000 is 4412312.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11190482 + ... + 11209518.

Almost surely, 2^213214400000 is an apocalyptic number.

213214400000 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 213214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304291055376).

213214400000 is an abundant number, since it is smaller than the sum of its proper divisors (395367710752).

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

213214400000 is an frugal number, since it uses more digits than its factorization.

213214400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19087 (or 19051 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 213214400000 its reverse (4412312), we get a palindrome (213218812312).

The spelling of 213214400000 in words is "two hundred thirteen billion, two hundred fourteen million, four hundred thousand".