212410000231000 has 512 divisors, whose sum is σ = 587064160650240. Its totient is φ = 70917120000000.

The previous prime is 212410000230931. The next prime is 212410000231057. The reversal of 212410000231000 is 132000014212.

It is a super-3 number, since 3×212410000231000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29109219352 + ... + 29109226648.

It is an arithmetic number, because the mean of its divisors is an integer number (1146609688770).

Almost surely, 2^{212410000231000} is an apocalyptic number.

212410000231000 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 212410000231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293532080325120).

212410000231000 is an abundant number, since it is smaller than the sum of its proper divisors (374654160419240).

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

212410000231000 is a wasteful number, since it uses less digits than its factorization.

212410000231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8404 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212410000231000 its reverse (132000014212), we get a palindrome (212542000245212).

The spelling of 212410000231000 in words is "two hundred twelve trillion, four hundred ten billion, two hundred thirty-one thousand".