212005920 has 96 divisors (see below), whose sum is σ = 763233408. Its totient is φ = 48457728.

The previous prime is 212005919. The next prime is 212005951. The reversal of 212005920 is 29500212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 28189 + ... + 34908.

It is an arithmetic number, because the mean of its divisors is an integer number (7950348).

Almost surely, 2^212005920 is an apocalyptic number.

212005920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212005920 is an abundant number, since it is smaller than the sum of its proper divisors (551227488).

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

212005920 is a wasteful number, since it uses less digits than its factorization.

212005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63122 (or 63114 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 212005920 is about 14560.4230707765. The cubic root of 212005920 is about 596.2787459386.

The spelling of 212005920 in words is "two hundred twelve million, five thousand, nine hundred twenty".