212442014044000 has 384 divisors, whose sum is σ = 575090777124864. Its totient is φ = 76636235520000.

The previous prime is 212442014043989. The next prime is 212442014044061. The reversal of 212442014044000 is 440410244212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212442014044000.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1395447885 + ... + 1395600115.

It is an arithmetic number, because the mean of its divisors is an integer number (1497632232096).

Almost surely, 2^{212442014044000} is an apocalyptic number.

212442014044000 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 212442014044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287545388562432).

212442014044000 is an abundant number, since it is smaller than the sum of its proper divisors (362648763080864).

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

212442014044000 is a wasteful number, since it uses less digits than its factorization.

212442014044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152887 (or 152869 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 212442014044000 its reverse (440410244212), we get a palindrome (212882424288212).

The spelling of 212442014044000 in words is "two hundred twelve trillion, four hundred forty-two billion, fourteen million, forty-four thousand".