212066016 has 48 divisors (see below), whose sum is σ = 557424000. Its totient is φ = 70593408.

The previous prime is 212065961. The next prime is 212066017. The reversal of 212066016 is 610660212.

212066016 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 (48).

It is a super-2 number, since 2×212066016² = 89943990284224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212066017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133515 + ... + 135093.

It is an arithmetic number, because the mean of its divisors is an integer number (11613000).

Almost surely, 2^212066016 is an apocalyptic number.

It is an amenable number.

212066016 is an abundant number, since it is smaller than the sum of its proper divisors (345357984).

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

212066016 is a wasteful number, since it uses less digits than its factorization.

212066016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 212066016 is about 14562.4866008522. The cubic root of 212066016 is about 596.3350817588.

The spelling of 212066016 in words is "two hundred twelve million, sixty-six thousand, sixteen".