212123253440 has 168 divisors, whose sum is σ = 609262781472. Its totient is φ = 68899921920.

The previous prime is 212123253379. The next prime is 212123253443. The reversal of 212123253440 is 44352321212.

212123253440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212123253443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 677480 + ... + 939800.

Almost surely, 2^212123253440 is an apocalyptic number.

212123253440 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 212123253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304631390736).

212123253440 is an abundant number, since it is smaller than the sum of its proper divisors (397139528032).

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

212123253440 is a wasteful number, since it uses less digits than its factorization.

212123253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262383 (or 262354 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 212123253440 its reverse (44352321212), we get a palindrome (256475574652).

The spelling of 212123253440 in words is "two hundred twelve billion, one hundred twenty-three million, two hundred fifty-three thousand, four hundred forty".