212414348080 has 240 divisors, whose sum is σ = 561298887072. Its totient is φ = 74653286400.

The previous prime is 212414348071. The next prime is 212414348093. The reversal of 212414348080 is 80843414212.

212414348080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 40372650 + ... + 40377910.

Almost surely, 2^212414348080 is an apocalyptic number.

212414348080 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 212414348080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280649443536).

212414348080 is an abundant number, since it is smaller than the sum of its proper divisors (348884538992).

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

212414348080 is a wasteful number, since it uses less digits than its factorization.

212414348080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 212414348080 in words is "two hundred twelve billion, four hundred fourteen million, three hundred forty-eight thousand, eighty".