212023542400000 has 264 divisors, whose sum is σ = 541038134593152. Its totient is φ = 83004902400000.

The previous prime is 212023542399901. The next prime is 212023542400003. The reversal of 212023542400000 is 4245320212.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (212023542400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149695135 + ... + 151104865.

Almost surely, 2^{212023542400000} is an apocalyptic number.

212023542400000 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 212023542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270519067296576).

212023542400000 is an abundant number, since it is smaller than the sum of its proper divisors (329014592193152).

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

212023542400000 is an frugal number, since it uses more digits than its factorization.

212023542400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409823 (or 1409785 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 212023542400000 its reverse (4245320212), we get a palindrome (212027787720212).

The spelling of 212023542400000 in words is "two hundred twelve trillion, twenty-three billion, five hundred forty-two million, four hundred thousand".