212934040 has 128 divisors (see below), whose sum is σ = 549918720. Its totient is φ = 73497600.

The previous prime is 212933999. The next prime is 212934049. The reversal of 212934040 is 40439212.

It is a junction number, because it is equal to n+sod(n) for n = 212933996 and 212934014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212934049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913764 + ... + 913996.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2^212934040 is an apocalyptic number.

212934040 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 212934040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274959360).

212934040 is an abundant number, since it is smaller than the sum of its proper divisors (336984680).

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

212934040 is a wasteful number, since it uses less digits than its factorization.

212934040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 212934040 is about 14592.2595919892. The cubic root of 212934040 is about 597.1476094164.

The spelling of 212934040 in words is "two hundred twelve million, nine hundred thirty-four thousand, forty".