212461920 has 384 divisors, whose sum is σ = 862202880. Its totient is φ = 48291840.

The previous prime is 212461871. The next prime is 212461943. The reversal of 212461920 is 29164212.

212461920 is a `hidden beast` number, since 2 + 1 + 24 + 619 + 20 = 666.

212461920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 807709 + ... + 807971.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2^212461920 is an apocalyptic number.

212461920 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 212461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431101440).

212461920 is an abundant number, since it is smaller than the sum of its proper divisors (649740960).

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

212461920 is a wasteful number, since it uses less digits than its factorization.

212461920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 212461920 is about 14576.0735453688. The cubic root of 212461920 is about 596.7059484696.

The spelling of 212461920 in words is "two hundred twelve million, four hundred sixty-one thousand, nine hundred twenty".