212134243040 has 384 divisors, whose sum is σ = 556983060480. Its totient is φ = 76059648000.

The previous prime is 212134243031. The next prime is 212134243043. The reversal of 212134243040 is 40342431212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212134243043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 806593949 + ... + 806594211.

It is an arithmetic number, because the mean of its divisors is an integer number (1450476720).

Almost surely, 2^212134243040 is an apocalyptic number.

212134243040 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 212134243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278491530240).

212134243040 is an abundant number, since it is smaller than the sum of its proper divisors (344848817440).

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

212134243040 is a wasteful number, since it uses less digits than its factorization.

212134243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 212134243040 its reverse (40342431212), we get a palindrome (252476674252).

The spelling of 212134243040 in words is "two hundred twelve billion, one hundred thirty-four million, two hundred forty-three thousand, forty".