212056416 has 288 divisors, whose sum is σ = 748500480. Its totient is φ = 55987200.

The previous prime is 212056393. The next prime is 212056417. The reversal of 212056416 is 614650212.

212056416 is a `hidden beast` number, since 2 + 12 + 0 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 212056416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212056417) 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 47 ways as a sum of consecutive naturals, for example, 782361 + ... + 782631.

It is an arithmetic number, because the mean of its divisors is an integer number (2598960).

Almost surely, 2^212056416 is an apocalyptic number.

212056416 is a gapful number since it is divisible by the number (26) 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 212056416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240).

212056416 is an abundant number, since it is smaller than the sum of its proper divisors (536444064).

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

212056416 is a wasteful number, since it uses less digits than its factorization.

212056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 212056416 is about 14562.1569830846. The cubic root of 212056416 is about 596.3260831409.

The spelling of 212056416 in words is "two hundred twelve million, fifty-six thousand, four hundred sixteen".