212416050 has 192 divisors, whose sum is σ = 671099904. Its totient is φ = 43180800.

The previous prime is 212416031. The next prime is 212416051. The reversal of 212416050 is 50614212.

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

It is not an unprimeable number, because it can be changed into a prime (212416051) 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 95 ways as a sum of consecutive naturals, for example, 611977 + ... + 612323.

It is an arithmetic number, because the mean of its divisors is an integer number (3495312).

Almost surely, 2^212416050 is an apocalyptic number.

It is a pronic number, being equal to 14574×14575.

It is a practical number, because each smaller number is the sum of distinct divisors of 212416050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335549952).

212416050 is an abundant number, since it is smaller than the sum of its proper divisors (458683854).

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

212416050 is a wasteful number, since it uses less digits than its factorization.

212416050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 212416050 is about 14574.4999914234. The cubic root of 212416050 is about 596.6630029355.

The spelling of 212416050 in words is "two hundred twelve million, four hundred sixteen thousand, fifty".