212314304000 has 160 divisors (see below), whose sum is σ = 530279006400. Its totient is φ = 84787814400.

The previous prime is 212314303987. The next prime is 212314304039. The reversal of 212314304000 is 403413212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45373661 + ... + 45378339.

It is an arithmetic number, because the mean of its divisors is an integer number (3314243790).

Almost surely, 2^212314304000 is an apocalyptic number.

212314304000 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 212314304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265139503200).

212314304000 is an abundant number, since it is smaller than the sum of its proper divisors (317964702400).

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

212314304000 is an frugal number, since it uses more digits than its factorization.

212314304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212314304000 its reverse (403413212), we get a palindrome (212717717212).

The spelling of 212314304000 in words is "two hundred twelve billion, three hundred fourteen million, three hundred four thousand".