212941440 has 128 divisors (see below), whose sum is σ = 754228800. Its totient is φ = 56779776.

The previous prime is 212941409. The next prime is 212941441. The reversal of 212941440 is 44149212.

It is a happy number.

212941440 is a `hidden beast` number, since 212 + 9 + 4 + 1 + 440 = 666.

212941440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212941441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11119 + ... + 23441.

Almost surely, 2^212941440 is an apocalyptic number.

212941440 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 212941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377114400).

212941440 is an abundant number, since it is smaller than the sum of its proper divisors (541287360).

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

212941440 is a wasteful number, since it uses less digits than its factorization.

212941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12351 (or 12333 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 212941440 is about 14592.5131488719. The cubic root of 212941440 is about 597.1545268029.

The spelling of 212941440 in words is "two hundred twelve million, nine hundred forty-one thousand, four hundred forty".