212442014000 has 80 divisors (see below), whose sum is σ = 513915723360. Its totient is φ = 84938604800.

The previous prime is 212442013963. The next prime is 212442014093. The reversal of 212442014000 is 410244212.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 4655294 + ... + 4700706.

It is an arithmetic number, because the mean of its divisors is an integer number (6423946542).

Almost surely, 2^212442014000 is an apocalyptic number.

212442014000 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 212442014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256957861680).

212442014000 is an abundant number, since it is smaller than the sum of its proper divisors (301473709360).

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

212442014000 is a wasteful number, since it uses less digits than its factorization.

212442014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47775 (or 47759 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 212442014000 its reverse (410244212), we get a palindrome (212852258212).

The spelling of 212442014000 in words is "two hundred twelve billion, four hundred forty-two million, fourteen thousand".